Zoom lens system with high zooming ratio

ABSTRACT

A compact zoom lens system with high zooming ratio for which the range of focal length is 16 to 192, i.e., the zooming ratio is 1:12, and aperture ratio is large and which comprises a focusing lens group having positive power, a variator lens group having negative power, a compensator lens group having negative power, an erector lens group having positive power and a master lens group.

BACKGROUND OF THE INVENTION

a. Field of the invention

The present invention relates to a zooming lens system and, moreparticularly, to a zooming lens system with high zooming ratio of 1:12.

B. Description of the prior art

For most of known zoom lens systems with high zooming ratio, the overalllength of the lens system is long and diameter of the front lens islarge. So, most of those zoom lens systems are large in size. Besides,for known zoom lens systems with high zooming ratio, aberrations areconsiderably aggravated when the distance to the object to bephotographed is largely varied from the distance to the object adoptedwhen the lens system is designed, Especially, in the teleposition,aggravation of aberrations when the distance to the object is varied isvery large.

SUMMARY OF THE INVENTION

It is, therefore, a primary object of the present invention to provide acompact zoom lens system with high zooming ratio for which the range offocal length is 16 to 192, i.e., the zooming ratio is 1:12, and apertureratio is large.

Another object of the present invention is to provide a zoom lens systemwith high zooming ratio arranged to prevent aggravation of image inclose-up photographing.

The basic configuration of the zoom lens system according to the presentinvention is as described below. That is, the zoom lens system accordingto the present invention comprises a focusing lens group having positivepower, a variator lens group having negative power, a compensator lensgroup having negative power, and an erector lens group having positivepower. As respective lens groups are arranged to have powers asdescribed in the above, the required distance between the variator lensgroup and compensator lens group at the time of zooming is limited to acomparatively small value. Therefore, the zoom lens system according tothe present invention is arranged so that the overall length iscomparatively short and diameter of front lens is comparatively small.Besides, focal lengths of respective lens groups are 118 to 127for thefocusing lens group, -18 to -21 for the variator lens group, -76 to -82for the compensator lens group, 47 to 52 for the erector lens group, and47 to 49 for the master lens group. In the zoom lens system according tothe present invention, the focusing lens group comprises three positivelens components and one negative lens component, the variator lens groupcomprises three negative lens components of cemented doublets or singlelenses, the compensator lens group comprises a negative cementeddoublet, the erector lens group comprises two positive lens components,and the master lens group comprises a first lens component havingpositive refractive power, a second lens component having negativerefractive power, a third lens component of positive lens and a fourthlens component of positive lens. Besides, the zoom lens system accordingto the present invention satisfies the following condition:

    1.45 < N.sub.a < 1.65                                      (1)

    1.58 < N.sub.b < 1.82                                      (2)

    |3f.sub.v | < |R.sub.a |(3)

    0.05 f.sub.M < D.sub.a < 0.36f.sub.M                       ( 4)

    0.24f.sub.M < D.sub.b + D.sub.c < 0.6f.sub.M               ( 5)

wherein reference symbol N_(a) represents refractive indices of threepositive lenses in the focusing lens group (but, refractive indices ofthe three lenses are not always equal), reference symbol N_(b)represents refractive indices of two lenses on the object side in thevariator lens group (but, refractive indices of the two lenses are notalways equal and, when one or both of those lenses are cemented doubletlenses, N_(b) represents refractive indices of negative lensesconstituting those cemented doublet lenses), reference symbol R_(a)represents the radius of curvature of the lens surface closest to theimage side in the variator lens group, reference symbol D_(a) representsthe thickness of the thick lens constituting the first lens component inthe master lens group, reference symbol D_(b) represents the airspacebetween the first and second lens components in the master lens group,reference symbol D_(c) represents the airspace between the second andthird lens components in the master lens group, reference symbol f_(v)represents the focal length of the variator lens group, and referencesymbol f_(M) represents the focal length of the master lens group.

The zoom lens system according to the present invention has basic lensconfiguration as described in the above and, therefore, the focusinglens group comprises three positive lenses and one negative lens. In thefocusing lens group, those lenses may be arranged either in the order ofthe positive lens, negative lens, positive lens and positive lens fromthe objective side, in the order of the positive lens, positive lens,negative lens and positive lens from the object side, or in the order ofthe negative lens, positive lens, positive lens and positive lens fromthe object side. In all of the above three cases, the focusing lensgroup is to be arranged to satisfy the condition (1). By the abovearrangement, the focusing lens group in combination with the variatorlens group and other lens groups constitutes the zoom lens systemcapable of attaining the object of the present invention.

Now, the meaning of the above-mentioned respective conditions isdescribed in detail in the following.

The condition (1) is to define the refractive indices of positive lensesin the focusing lens group. For positive lenses in this kind of focusinglens group, it is generally advantageous for correction of sphericalaberration and chromatic aberration when materials of high refractiveindices and high dispersion are used for those positive lenses. In zoomlens systems, however, negative lenses of strong negative powers areused in the variator lens group and compensator lens group which are tobe moved for the purpose of zooming and, therefore, negative power ofthe lens system as a whole becomes strong, Petzval's sum becomes anegative value and large curvature of field occurs. If the positivelenses in the focusing lens group have high refractive indices inaddition to the above, Petzval's sum of the lens system becomes anegative value of still larger absolute value and, consequently, itbecomes impossible to correct curvature of field favourably by the otherlenses. Due to the above-mentioned reason, in the present invention, theupper limit as shown in the condition (1) is given to refractive indicesof the positive lenses in the focusing lens group. When, on the otherhand, refractive indices of these positive lenses are low, it may beadvantageous as far as Petzval's sum is concerned. However, it becomesdifficult to correct spherical aberration favourably. Moreover, itbecomes necessary to make radii of curvature of respective lens surfacessmall and offaxial aberrations will increase. To prevent the above, thelower limit of refractive indices is given as shown in the condition(1).

The condition (2) relates to correction of aberrations of the variatorlens group and is established for the purpose of correcting sphericalaberration which has not been favourably corrected by the focusing lensgroup. If the refractive index of either negative lens, out of the twonegative lenses arranged on the object side in the variator lens group(the two negative lenses constituting the cemented double lenses whenone or both of those lenses are cemented doublet lenses), becomessmaller than the lower limit of the condition (2), it becomes impossibleto correct spherical aberration favourably. If the above-mentionedrefractive index becomes larger than the upper limit of the condition(2), Petzval's sum becomes negative, curvature of field will beaggravated and it becomes impossible to favourably correct it by theother lenses.

The condition (3) is to limit the exit angles of oblique rays which goout from the variator lens group in order to prevent offaxialaberrations to be caused by the variator lens group and also to minimizeoffaxial aberrations to be caused by respective lenses in rear of thevariator lens group. The above-mentioned correcting effect is attainedby limiting the radius of curvature R_(a) of the lens surface, which isclosest to the image side in the variator lens group, to a value withinthe range defined by the condition (3). If R_(a) does not satisfy thecondition (3), the radius of curvature of the above-mentioned lenssurface becomes small, aberrations caused by this surface increases andit becomes impossible to favourably correct them by the other lenses.

Generally, in the zooming lens groups (variator lens group, compensatorlens group, etc.) of a zoom lens system, there are such lens groupswhich have strong negative powers and, therefore, spherical aberrationof the zooming lens groups as a whole generally becomes considerablyundercorrected. Therefore, it is necessary to balance sphericalaberration of the lens system as a whole by arranging so that sphericalaberration of the master lens group is overcorrected to the extent thatthe above-mentioned undercorrection of spherical aberration is offset.The condition (4) is established for the purpose of overcorrectingspherical aberration of the master lens group. That is, it is soarranged that spherical aberration of the master lens group isovercorrected by adopting a positive lens of large thickness in thefirst lens component in the master lens group. If, however, a lens oftoo large thickness is used, offaxial aberrations will be caused thoughit may be advantageous for correction of spherical aberration.Therefore, it is necessary to arrange so that the thickness D_(a) of thethick lens in the first lens component will not exceed the upper limitof the condition (4). If, on the contrary, D_(a) becomes smaller thanthe lower limit of the condition (4), spherical aberration will beundercorrected and it becomes impossible to favourably balance sphericalaberration of the lens system as a whole.

Due to the fact that there are such lens groups having strong negativepowers in the zooming lens groups as described in the above, Petzval'ssum of the zooming lens groups as a whole becomes a negative value oflarge absolute value in the same way as spherical aberration of thezooming lens groups as a whole is undercorrected. Therefore, it isnecessary to offset the above by arranging so that Petzval's sum of themaster lens group becomes a large positive value. For this purpose, themaster lens group of the zoom lens system according to the presentinvention is arranged as a Petzval type lens group having largeairspaces between lens components constituting it. To obtain theabove-mentioned offsetting effect for Petzval's sum, it is preferable toarrange so that the sum D_(b) + D_(c) of the airspace D_(b) between thefirst and second lens components in the master lens group and airspaceD_(c) between the second and third lens components becomes large.However, in order to obtain the back focal length of adequate value andto favourably correct the other aberrations, especially coma, it isnecessary to arrange so that the sum D_(b) + D_(c) does not exceed theupper limit of the condition (5). If, on the other hand, the sum D_(b) +D_(c) becomes smaller than the lower limit of the condition (5), itbecomes impossible to favourably balance Petzval's sum of the lenssystem as a whole due to the reason described in the above and,consequently, curvature of field will be aggravated.

As explained so far, the zoom lens system having the afore-mentionedlens configuration and satisfying the above conditions is capable ofattaining the object of the present invention. When, however, respectiveconditions described below are further satisfied, it is possible toobtain a more favourable zoom lens system.

For the negative lens in the focusing lens group, it is not preferableto make radii of curvature of its surfaces small because small radii ofcurvature are not advantageous for obtaining Petzval's sum of largepositive value for the focusing lens group and for making the lenssystem as a whole compact. Therefore, for this negative lens, it ispreferable to make its refractive index as high as possible, i.e., 1.75or more. Besides, the variator lens group has tendency to causeaberrations especially for offaxial rays because the amount of itsmovement at the time of zooming is large. Therefore, it is preferable tomake radii of curvature of respective surfaces of respective lenses,which constitute the variator lens group, as large as possible so thatrespective lens surfaces in the variator lens group will not have largeangles of refraction for oblique rays. Moreover, when radii of curvatureof respective lens surfaces are large, it is possible to make airspacesbetween respective lens components small. This is preferable also fromthe point of view that it is then possible to make the lens system as awhole compact. For this purpose, it is preferable to use materials ofhigh refractive indices for respective lenses in the variator lensgroup. When one or more cemented doublet lenses are used as lenscomponents in the variator lens group, it is preferable to use materialsof high refractive indices for the positive lenses constituting thosecemented doublet lenses and, especially, it is more preferable to makerefractive indices of those positive lenses 1.75 or more.

In the focusing lens group constituting the zoom lens system accordingto the present invention, materials of high dispersion are used for thethree positive lenses and material of low dispersion is used for thenegative lens so that chromatic aberration is thereby prevented,especially, chromatic aberration in the tele-position is therebyprevented. To favourably correct lateral chromatic aberration and tofavourably balance chromatic aberration caused by the focusing lensgroup with chromatic aberration to be caused by the variator lens grouparranged in rear of the focusing lens group, it is preferable to selectAbbe's numbers ν_(a) of the three positive lenses constituting thefocusing lens group within the range defined by the condition (6) shownbelow.

    57 < ν.sub.a < 71                                       (6)

If Abbe's number ν_(a) of any lens out of the three positive lenses inthe focusing lens group becomes larger than the upper limit of thecondition (6), lateral chromatic aberration especially in thetele-position becomes large though it may be convenient for correctionof longitudinal chromatic aberration. If the above-mentioned Abbe'snumber becomes smaller than the lower limit of the condition (6), itbecomes impossible to correct longitudinal chromatic aberrationfavourably.

For correction of chromatic aberration of the variator lens group, it isnecessary to take correction of longitudinal chromatic aberration andlateral chromatic aberration of the focusing lens group intoconsideration. To correct chromatic aberration of the variator lensgroup more favourably, it is preferable to select Abbe's numbers ν_(b)of the two negative lenses on the object side in the variator lens group(the two negative lenses constituting the cement doublet lenses when oneor both of those lenses are cemented doublet lenses) within the rangedefined by the condition (7) shown below.

    38 < ν.sub.b < 62

If Abbe's number ν_(b) of either lens out of the above two negativelenses does not satisfy the condition (7), longitudinal chromaticaberration and lateral chromatic aberration cannot be corrected in wellbalanced state.

For the lens closest to the image side in the variator lens group, it ispreferable to make its refractive power not so strong. If its refractivepower is strong, aberrations will be caused when the variator lens groupis moved for the purpose of zooming and, moreover, it becomes necessaryto arrange so that the lens groups in rear of the variator lens grouphave very strong refractive powers. Due to the above-mentioned reason,it is preferable to select the focal length f_(a) of the lens closest tothe image side in the variator lens group within the range defined bythe condition (8) shown below.

    5 |f.sub.V | < |f.sub.a | < 20|f.sub.V |                             (8)

generally, for zoom lens systems, the degree of freedom is limited bycorrection of aberrations other than distortion and, therefore, it isdifficult to correct distortion favourably. For the zoom lens systemaccording to the present invention, it is so arranged that distortion iscorrected by means of the positive lens positioned closest to the objectside in the focusing lens group and/or positive lens positioned just onthe image side of the negative in the focusing lens group. When surfaceson the image side of these positive lenses are made concave toward theobject side and radii of curvature of these surfaces are made small,distortion is corrected more favourably when the smaller the radii ofcurvature are. On the other hand, when these surfaces are made convextoward the object side, it is possible to favourably correct distortionby the other lens surfaces when radii of curvature of these surfaces arenot small and it is all right for practical use. Besides, when thesesurfaces are convex toward the object side, it is possible to makethicknesses of lenses comparatively small and to make the diameter ofthe front lens small. Therefore, it is advantageous as the lens systemas a whole can be arranged compactly. Due to the above-mentioned reason,it is preferable to select the radii of curvature R_(a) of the surfaceson the image side of the positive lens positioned closest to the objectside in the focusing lens group and/or of the positive lens positionedjust on the image side of the negative lens in the focusing lens groupso that the following condition (9) is satisfied.

    -0.65/f.sub.F < 1/R.sub.a < 0.05/f.sub.F                   (9)

when 1/R_(a) in the condition (9) becomes larger than the upper limit,these surfaces become convex toward the object side and, moreover, radiiof curvature of these surfaces become small. Therefore, it is impossibleto correct distortion favourably. When 1/R_(a) becomes smaller than thelower limit, these surfaces become concave toward the object side andradii of curvature of these surfaces become small. Therefore, it isadvantageous for correction of distortion. However, the otheraberrations will be caused and it becomes impossible to favourablycorrect them in well- balanced state.

Generally, photographic lens systems are designed so that itsaberrations are favourably corrected when it is focused on an object atinfinite distance. When, therefore, the object distance (the distance tothe object to be photographed) is varied, aberrations vary from thosewhen the lens system is designed. Especially when the object distance islargely varied in order to photograph an object at a very shortdistance, aberrations are aggravated considerably. On the contrary, whena photographing lens system is designed so that its aberrations arefavourably corrected when it is focused on an object at a very shortdistance, aberrations are aggravated when photographing an object at theother distances including infinite distance. As explained in the above,the image obtained by a photographic lens system generally becomessomewhat unfavourable when photographing an object at a distance otherthan the design object distance (the distance to the object to bephotographed for which the lens system is designed), i.e., whenphotographing by a magnification other than the design magnification(the magnification for which the lens system is designed). Thisphenomenon is more conspicuous in case of asymmetrical lens systems.Moreover, in case of zoom lens systems with high zooming ratio like thelens system according to the present invention, the image obtained byphotographing in the tele-position becomes more unfavourable, when theobject distance is varied, compared with the image obtained byphotographing in the wide position because the magnification in thetele-position is larger compared with the magnification in thewide-position even when the object distance is the same.

To explain more particularly, zoom lens systems are focused, forexample, by providing a focusing lens group constituting the zoom lenssystem and by moving the focusing lens group as in case of the zoom lenssystem according to the present invention. When focusing such zoom lenssystem, the amount of movement of the focusing lens group required forfocusing becomes large when the object distance is largely becomes largewhen the object distance is largely varied from the design objectdistance. Besides, for zoom lens systems, the focal length of the lenssystem is varied by moving the variator lens group which is arrangedjust in rear of the focusing lens group.

When putting the zoom lens system to the teleposition, the variator lensgroup is generally moved in the direction in which the airspace betweenthe focusing lens group and variator lens group becomes wider.Therefore, positions of offaxial rays where they pass through lenses areconsiderably different from positions of paraxial rays where they passthrough lenses. Consequently, offaxial aberrations are largely variedwhen the lens system is put to the tele-position and are aggravatedconsiderably. At that time, astigmatism and curvature of field areaggravated chiefly.

Therefore, the zoom lens system according to the present invention isarranged to prevent the above-mentioned aggravation of aberration byvarying the airspace (d₂, d₄ or d₆) between lenses in the portion whereparaxial rays are parallel with the optical axis of the lens system andoffaxial rays are at large angles in respect to the optical axis. Inthis case, the above-mentioned variation of airspace has almost noinfluence on paraxial aberrations because paraxial rays are parallelwith the optical axis in that portion. On the contrary, astigmatismwhich is offaxial aberration largely varies according to variation ofairspace and, therefore, it is possible to favourably correctastigmatism in well-balanced state.

In other words, for the zoom lens system according to the presentinvention, the above-mentioned airspace to be varied is selected so thatthe following conditions are satisfied.

    1.5f.sub.F < |f.sub.IB |                 (10)

    f.sub.F < |f.sub.I | < 3f.sub.F          (11)

in the above, reference symbol f_(F) represents the focal length of thefocusing lens group, reference symbol f_(I) represents the focal lengthof the movable lens group I consisting of the lens or lenses arranged onthe object side of the above-mentioned airspace to be varied, andreference symbol f_(IB) represents the back focal length of theabove-mentioned movable lens group I.

Out of the above conditions, the condition (10) is to make paraxial raysin the above-mentioned airspace as far as possible parallel with theoptical axis in order to minimize variation of paraxial aberrations whenthe airspace is varied. That is, the condition (10) means to arrange sothat the back focal point of the movable lens group I, which ispositioned in front of the above-mentioned airspace, comes to a positionas far as possible distant from the lens group I. When the back focallength f_(IB) is 1.5 times or more of the focal length f_(F) of thefocusing lens group, variation of paraxial aberrations when theabove-mentioned airspace is varied is limited to the degree which isnegligible in practical use.

The condition (11) relates to the power of the lens group I. The smallerthe power of the lens group I, the more favourable for parallelism ofparaxial rays in the above-mentioned airspace to be varied. When,however, the power of the lens group I is too small, it is impossible tovary offaxial rays when the above-mentioned airspace is varied. That is,to refract offaxial rays so that some influence is given to offaxialrays when the airspace is varied and the above-mentioned effect forpreventing aggravation of aberrations is attained, the power of the lensgroup I should be made large to some extent. Therefore, it is necessaryto select the focal length f_(I) of the lens group I within the rangedefined by the condition (11). If f₁ becomes larger than the upper limitof the condition (11) and the power of the lens group I becomes smallerthan 1/3 of the power of the focusing lens group as a whole, the powerof the lens group I becomes too weak. Therefore, to attain the object ofthe present invention, the required amount of movement of the lens groupI becomes large, i.e., the amount of variation of the above-mentionedairspace becomes large. If, however, the amount of variation of thatairspace is large as described in the above, variation of the airspacewill have influence on paraxial aberrations and this is not preferable.On the other hand, if f₁ becomes smaller than the lower limit, the powerof the lens group I becomes too strong. Therefore, offaxial aberrationsare varied too much when the above-mentioned airspace is varied and itis impossible to obtain stable correcting effect for aberrations.

Besides, variation of paraxial aberrations to be caused when theabove-mentioned airspace is varied becomes small when the power of thelens group I is smaller than the power of the other lens groupconstituting the focusing lens group, i.e., the lens group II whichconsists of the lens or lenses arranged on the image side of theabove-mentioned airspace. Therefore, it is preferable to select thefocal length f_(II) of the lens group II so that it becomes |f_(II) | <|f_(I) |.

BRIEF DESCRIPTION OF THE DRAWINGS

FIGS. 1 through 5 respectively show sectional views of respectiveembodiments of the zoom lens system according to the present invention;

FIGS. 6A, 6B and 6C respectively show graphs illustrating aberrationcurves of Embodiment 1 when f is respectively f = 16, f = 55.43 and f =192;

FIGS. 7A, 7B and 7C respectively show graphs illustrating aberrationcurves of Embodiment 2 when f is respectively f = 16, f = 55.43 f = 192;

FIGS. 8A, 8B and 8C respectively show graphs illustrating aberrationcurves of Embodiment 3 when f is respectively f = 16, f = 55.43 and f =192;

FIGS. 9A 9B and 9C respectively show graphs illustrating aberrationcurves of Embodiment 4 when f is respectively f = 16, f = 55.43 and f =192;

FIGS. 10A, 10B and 10C respectively show graphs illustrating aberrationcurves of Embodiment 5 when f is respectively f = 16, f = 55.43 and f =192;

FIGS. 11A, 11B and 11C respectively show graphs illustrating aberrationcurves of Embodiment 6 when f is respectively f = 16, f = 55.43 and f =192;

FIGS. 12A, 12B and 12C respectively show graphs illustrating aberrationcurves of Embodiment 7 when f is respectively f = 16, f = 55.43 and f =192;

FIGS. 13A, 13B and 13C respectively show graphs illustrating aberrationcurves of Embodiment 8 when f is respectively f = 16, f = 55.43 and f =192;

FIGS. 14A, 14B and 14C respectively show graphs illustrating aberrationcurves of Embodiment 9 when f is respectively f = 16, f = 55.43 and f =192;

FIGS. 15A, 15B and 15C respectively show graphs illustrating aberrationcurves of Embodiment 10 when f is respectively f = 16, f = 55.43 and f =192;

FIG. 16A shows graphs illustrating spherical aberration and astigmatismof Embodiment 1 before correction when the object distance is 2,000 mm;

FIG. 16B shows graphs illustrating spherical aberration and astigmatismof Embodiment 1 after correction when the object distance is 2,000 mm.

FIG. 17A shows graphs illustrating spherical aberration and astigmatismof Embodiment 8 before correction when the object distance is 2,000 mm;

FIG. 17B shows graphs illustrating spherical aberration and astigmatismof Embodiment 8 after correction when the object distance is 2,000 mm;

FIG. 18A shows graphs illustrating spherical aberration and astigmatismof Embodiment 10 before correction when the object distance is 2,000 mm;and

FIG. 18B shows graphs illustrating spherical aberration and astigmatismof Embodiment 10 after correction when the object distance is 2,000 mm.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Preferred embodiments of the zoom lens system with high zooming ratioaccording to the present invention explained in the above are as shownbelow.

    ______________________________________                                        Embodiment 1                                                                  r.sub.1 = 158.296                                                                d.sub.1 = 11.5                                                                             n.sub.1 = 1.623                                                                            ν.sub.1 = 58.1                                r.sub.2 = 2197.098                                                               d.sub.2 = 0.2                                                              r.sub.3 = 213.115                                                                d.sub.3 = 3.0                                                                              n.sub.2 = 1.805                                                                            ν.sub.2 = 25.4                                r.sub.4 = 85.546                                                                 d.sub.4 = 3.5                                                              r.sub.5 = 89.756                                                                 d.sub.5 = 17.0                                                                             n.sub.3 = 1.623                                                                            ν.sub.3 = 58.1                                r.sub.6 = 758.509                                                                d.sub.6 = 1.2                                                              r.sub.7 = 99.704                                                                 d.sub.7 = 9.0                                                                              n.sub.4 = 1.623                                                                            ν.sub.4 = 58.1                                r.sub.8 = 316.846                                                                d.sub.8 variable                                                           r.sub.9 = 429.751                                                                d.sub.9 = 6.0                                                                              n.sub.5 =  1.805                                                                           ν.sub.5 = 25.4                                r.sub.10 = -78.647                                                               d.sub.10 = 1.8                                                                             n.sub.6 = 1.697                                                                            ν.sub.6 = 55.5                                r.sub.11 = 37.297                                                                d.sub.11 = 4.8                                                             r.sub.12 = -223.383                                                              d.sub.12 = 3.8                                                                             n.sub.7 = 1.805                                                                            ν.sub.7 = 25.4                                r.sub.13 = -62.115                                                               d.sub.13 = 1.2                                                                             n.sub.8 = 1.697                                                                            ν.sub.8 = 55.5                                r.sub.14 = 65.013                                                                d.sub.14 = 4.6                                                             r.sub.15 = -36.284                                                               d.sub.15 = 1.6                                                                             n.sub.9 = 1.620                                                                            ν.sub.9 = 60.3                                r.sub.16 = -469.412                                                              d.sub.16 variable                                                          r.sub.17 = -41.846                                                               d.sub.17 = 0.8                                                                             n.sub.10 = 1.560                                                                           ν.sub.10 = 61.1                               r.sub.18 = 40.239                                                                 d.sub.18 = 2.4                                                                            n.sub.11 = 1.548                                                                           ν.sub.11 = 45.8                               r.sub.19 = -753.479                                                              d.sub.19 variable                                                          r.sub.20 = 196.376                                                               d.sub.20 = 2.8                                                                             n.sub.12 = 1.516                                                                           ν.sub.12 = 64.2                               r.sub.21 = -64.862                                                               d.sub.21 = 0.2                                                             r.sub.22 = 77.367                                                                d.sub.22 = 2.5                                                                             n.sub.13 = 1.516                                                                           ν.sub.13 = 64.2                               r.sub.23 = -171.623                                                              d.sub.23 = 0.6                                                             r.sub.24 = 1114.209                                                              d.sub.24 = 2.5                                                                             n.sub.14 = 1.516                                                                           ν.sub.14 = 64.2                               r.sub.25 = -118.819                                                              d.sub.25 = 0.2                                                             r.sub.26 = 29.349                                                                d.sub.26 = 18.0                                                                            n.sub.15 = 1.515                                                                           ν.sub.15 = 54.7                               r.sub.27 = -28.100                                                                d.sub.27 = 1.8                                                                            n.sub.16 = 1.755                                                                           ν.sub.16 = 27.5                               r.sub.28 = 1438.933                                                              d.sub.28 = 10.8                                                            r.sub.29 = 72.293                                                                d.sub.29 = 1.8                                                                             n.sub.17 = 1.755                                                                           ν.sub.17 = 27.5                               r.sub.30 = 18.709                                                                d.sub.30 = 9.5                                                             r.sub.31 = 63.955                                                                d.sub.31 = 3.0                                                                             n.sub.18 = 1.541                                                                           ν.sub.18 = 47.2                               r.sub.32 = -200.489                                                              d.sub.32 = 0.2                                                             r.sub.33 = 32.745                                                                d.sub.33 = 4.0                                                                             n.sub.19 = 1.541                                                                           ν.sub.19 = 47.2                               r.sub.34 = -59.973                                                               f = 16 ˜192,                                                                         f.sub.F = 121.0 ,                                                                          f.sub.V = -20.5                                     f.sub.c = -77.44 ,                                                                         f.sub.E = 49.8 ,                                                                           f.sub.M =  53.3                                           d.sub.8     d.sub.16    d.sub.19                                     f = 16   1.63        71.05       1.37                                         f = 55.43                                                                              45.3        16.32       12.43                                        f = 192  66.72       5.96        1.37                                         ______________________________________                                    

    ______________________________________                                        Embodiment 2                                                                  r.sub.1 = 133.100                                                                d.sub.1 = 14.000                                                                           n.sub.1 = 1.56873                                                                          ν.sub.1 = 63.16                               r.sub.2 = 933.228                                                                d.sub.2 = 0.200                                                            r.sub.3 = 168.206                                                                d.sub.3 = 3.0                                                                              n.sub.2 = 1.78472                                                                          ν.sub.2 = 25.71                               r.sub.4 = 88.024                                                                 d.sub.4 = 4.0                                                              r.sub.5 = 102.995                                                                d.sub.5 = 12.5                                                                             n.sub.3 = 1.48749                                                                          ν.sub.3 = 70.15                               r.sub.6 = 707.554                                                                d.sub.6 = 0.2                                                              r.sub.7 = 84.944                                                                 d.sub.7 = 12.5                                                                             n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                               r.sub.8 = 431.464                                                                d.sub.8 variable                                                           r.sub.9 = 193.259                                                                d.sub.9 = 8.0                                                                              n.sub.5 = 1.80518                                                                          ν .sub.5 = 25.43                              r.sub.10 = -79.919                                                               d.sub.10 = 1.8                                                                             n.sub.6 = 1.75700                                                                          ν.sub.6 = 47.87                               r.sub.11 = 42.365                                                                d.sub.11 = 6.4                                                             r.sub.12 = -415.180                                                              d.sub.12 = 3.2                                                                             n.sub.7 = 1.80518                                                                          ν.sub.7 = 25.43                               r.sub.13 = -60.449                                                               d.sub.13 = 1.4                                                                             n.sub.8 = 1.75700                                                                          ν.sub.8 = 47.87                               r.sub.14 = 73.901                                                                d.sub.14 = 5.2                                                             r.sub.15 = -38.899                                                               d.sub.15 = 1.4                                                                             n.sub.9 = 1.62299                                                                          ν.sub.9 = 58.14                               r.sub.16 = 194.328                                                               d.sub.16 variable                                                          r.sub.17 = -39.838                                                               d.sub.17 = 0.8                                                                             n.sub.10 = 1.55963                                                                         ν.sub.10 = 61.14                              r.sub.18 = 34.340                                                                d.sub.18 = 2.4                                                                             n.sub.11 = 1.54072                                                                         ν.sub.11 = 47.20                              r.sub.19 = -243.527                                                              d.sub.19 variable                                                          r.sub.20 = 274.360                                                               d.sub.20 = 2.5                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                              r.sub.21 = -56.628                                                               d.sub.21 = 0.1                                                             r.sub.22 = 93.570                                                                d.sub.22 = 2.5                                                                             n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                              r.sub.23 = -151.963                                                              d.sub.23 = 0.432                                                           r.sub.24 = 156.152                                                               d.sub.24 = 4.0                                                                             n.sub.14 = 1.51633                                                                         ν.sub.14 = 64.15                              r.sub.25 = -1290.335                                                             d.sub.25 = 0.2                                                             r.sub.26 = 21.067                                                                d.sub.26 = 8.5                                                                             n.sub.15 = 1.51633                                                                         ν.sub.15 = 64.15                              r.sub.27 = -31.823                                                               d.sub.27 = 1.8                                                                             n.sub.16 = 1.74400                                                                         ν.sub.16 = 44.78                              r.sub.28 = 3069.674                                                              d.sub.28 = 8.0                                                             r.sub.29 = 58.260                                                                d.sub.29 = 1.8                                                                             n.sub.17 = 1.76182                                                                         ν.sub.17 = 26.55                              r.sub.30 = 16.565                                                                d.sub.30 = 5.0                                                             r.sub.31 = 109.745                                                               d.sub.31 = 4.5                                                                             n.sub.18 = 1.51633                                                                         ν.sub.18 = 64.15                              r.sub.32 = -61.884                                                               d.sub.32 = 0.2                                                             r.sub.33 = 24.680                                                                d.sub.33 = 4.5                                                                             n.sub.19 = 1.51633                                                                         ν.sub.19 = 64.15                              r.sub.34 = 166.289                                                               f = 16 ˜ 192 ,                                                                       f.sub.F = 127.000 ,                                                                        f.sub.V = -20.500                                   f.sub.c = -81.200 ,                                                                        f.sub.E = 50.613 ,                                                                         f.sub.M = 49.019                                           d.sub.8    d.sub.16    d.sub.19                                     f = 16   0.8         67.52       1.74                                         f = 55.43                                                                              44.1        11.35       14.63                                        f = 192  65.9        2.43        1.74                                         ______________________________________                                    

    ______________________________________                                        Embodiment 3                                                                  r.sub.1 = 114.335                                                                d.sub.1 = 12.0                                                                             n.sub.1 = 1.60311                                                                          ν.sub.1 = 60.70                               r.sub.2 = 736.861                                                                d.sub.2 = 0.2                                                              r.sub.3 = 196.827                                                                d.sub.3 = 3.0                                                                              n.sub.2 = 1.80518                                                                          ν.sub.2 = 25.43                               r.sub.4 = 83.472                                                                 d.sub.4 = 3.5                                                              r.sub.5 = 106.493                                                                d.sub.5 = 12.0                                                                             n.sub.3 = 1.60311                                                                          ν.sub.3 = 60.70                               r.sub.6 = 570.408                                                                d.sub.6 = 0.2                                                              r.sub.7 = 96.660                                                                 d.sub.7 = 10.2                                                                             n.sub.4 = 1.60311                                                                          ν.sub.4 = 60.70                               r.sub.8 = 430.980                                                                d.sub.8 variable                                                           r.sub.9 = 204.944                                                                d.sub.9 = 6.2                                                                              n.sub.5 =  1.80518                                                                         ν.sub.5 = 25.43                               r.sub.10 = -71.740                                                               d.sub.10 = 1.5                                                                             n.sub.6 = 1.65160                                                                          ν.sub.6 = 58.67                               r.sub.11 = 36.157                                                                d.sub.11 = 5.0                                                             r.sub.12 = -148.933                                                              d.sub.12 = 2.5                                                                             n.sub.7 = 1.80518                                                                          ν.sub.7 = 25.43                               r.sub.13 =-60.792                                                                d.sub.13 = 1.2                                                                             n.sub.8 = 1.65160                                                                          ν.sub.8 = 58.67                               r.sub.14 = 59.571                                                                d.sub.14 = 4.5                                                             r.sub.15 = -33.540                                                               d.sub.15 = 1.2                                                                             n.sub.9 = 1.62041                                                                          ν.sub.9 = 60.27                               r.sub.16 = ∞                                                               d.sub.16 variable                                                          r.sub.17 = -38.929                                                               d.sub.17 = 0.8                                                                             n.sub.10 = 1.55963                                                                         ν.sub.10 = 61.14                              r.sub.18 =  39.004                                                               d.sub.18 = 2.4                                                                             n.sub.11 = 1.54814                                                                         ν.sub.11 = 45.78                              r.sub.19 = -302.206                                                              d.sub.19 variable                                                          r.sub.20 = 165.358                                                               d.sub.20 = 2.8                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                              r.sub.21 = -65.321                                                               d.sub.21 = 0.2                                                             r.sub.22 = 75.611                                                                d.sub.22 = 2.5                                                                             n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                              r.sub.23 = -247.013                                                              d.sub.23 = 0.419                                                           r.sub.24 = 217.139                                                               d.sub.24 = 2.5                                                                             n.sub.14 = 1.51633                                                                         ν.sub.14 = 64.15                              r.sub.25 = -386.134                                                              d.sub.25 = 0.2                                                             r.sub.26 = 26.829                                                                d.sub.26 = 13.0                                                                            n.sub.15 = 1.51454                                                                         ν.sub.15 = 54.69                              r.sub.27 = -27.152                                                               d.sub.27 = 1.8                                                                             n.sub.16 = 1.75520                                                                         ν.sub.16 = 27.51                              r.sub.28 = -124.632                                                              d.sub.28 = 10.8                                                            r.sub.29 = 93.905                                                                d.sub.29 = 1.8                                                                             n.sub.17 = 1.75520                                                                         ν.sub.17 = 27.51                              r.sub.30 = 16.829                                                                d.sub.30 = 9.5                                                             r.sub.31 = 69.605                                                                d.sub.31 = 3.0                                                                             n.sub.18 = 1.54814                                                                         ν.sub.18 = 45.78                              r.sub.32 = -346.516                                                              d.sub.32 = 0.2                                                             r.sub.33 = 28.706                                                                d.sub.33 = 5.0                                                                             n.sub.19 = 1.54814                                                                         ν.sub.19 = 45.78                              r.sub.34 = -87.603                                                               f = 16 ˜ 192 ,                                                                       f.sub.F = 122.000 ,                                                                        f.sub.V = -20.700                                   f.sub.C = 78.000 ,                                                                         f.sub.E = 50.586 ,                                                                         f.sub.M  = 53.553                                         d.sub.8     d.sub.16    d.sub.19                                     f = 16   0.23        72.79       1.82                                         f = 55.43                                                                              44.28       17.48       13.09                                        f = 19.2 65.96       7.07        1.82                                         ______________________________________                                    

    ______________________________________                                        Embodiment 4                                                                  r.sub.1 = 138.553                                                                d.sub.1 = 13.0                                                                             n.sub.1 = 1.58913                                                                          ν.sub.1 = 61.11                               r.sub.2 = 857.977                                                                d.sub.2 = 0.2                                                              r.sub.3 = 194.829                                                                d.sub.3 = 3.0                                                                              n.sub.2 = 1.80518                                                                          ν.sub.2 = 25.43                               r.sub.4 = 87.288                                                                 d.sub.4 = 3.5                                                              r.sub.5 = 99.474                                                                 d.sub.5 = 13.5                                                                             n.sub.3 = 1.56873                                                                          ν.sub.3 = 63.16                               r.sub.6 = 621.5800                                                               d.sub.6 = 0.2                                                              r.sub.7 = 95.396                                                                 d.sub.7 = 10.5                                                                             n.sub.4 = 1.56873                                                                          ν.sub.4 = 63.16                               r.sub.8 = 504.051                                                                d.sub.8 variable                                                           r.sub.9 = 243.444                                                                d.sub.9 = 6.0                                                                              n.sub.5 = 1.80518                                                                          ν.sub.5 = 25.43                               r.sub.10 = -80.163                                                               d.sub.10 = 1.8                                                                             n.sub.6 = 1.69350                                                                          ν.sub.6 = 53.34                               r.sub.11 = 37.603                                                                d.sub.11 = 4.2                                                             r.sub.12 = -241.360                                                              d.sub.12 = 3.8                                                                             n.sub.7 = 1.80518                                                                          ν.sub.7 = 25.43                               r.sub.13 = -62.447                                                               d.sub.13 = 1.2                                                                             n.sub.8 = 1.69350                                                                          ν.sub.8 = 53.34                               r.sub.14 = 65.878                                                                d.sub.14 = 4.5                                                             r.sub.15 = 37.701                                                                d.sub.15 = 1.2                                                                             n.sub.9 = 1.62041                                                                          ν.sub.9 = 60.27                               r.sub.16 = 309.752                                                               d.sub.16 variable                                                          r.sub.17 = -36.678                                                               d.sub.17 = 0.8                                                                             n.sub.10 = 1.55963                                                                         ν.sub.10 = 61.14                              r.sub.18 = 35.175                                                                 d.sub.18 = 2.4                                                                            n.sub.11 = 1.54814                                                                         ν.sub.11 = 45.78                              r.sub.19 = -198.614                                                              d.sub.19 variable                                                          r.sub.20 = 194.216                                                               d.sub.20 = 2.8                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                              r.sub.21 = -62.779                                                               d.sub.21 = 0.2                                                             r.sub.22 = 77.005                                                                d.sub.22 = 2.5                                                                             n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                              r.sub.23 = -218.172                                                              d.sub.23 = 0.061                                                           r.sub.24 = 171.270                                                               d.sub.24 = 2.5                                                                             n.sub.14 = 1.51633                                                                         ν.sub.14 = 64.15                              r.sub.25 = -346.014                                                              d.sub.25 = 0.2                                                             r.sub.26 = 26.364                                                                d.sub.26 = 11.0                                                                            n.sub.15 = 1.51454                                                                         ν.sub.15 = 54.69                              r.sub.27 =-28.399                                                                d.sub.27 = 1.8                                                                             n.sub.16 = 1.75520                                                                         ν.sub.16 = 27.51                              r.sub.28 =-122.545                                                               d.sub.28 = 10.8                                                            r.sub.29 = 97.359                                                                d.sub.29 = 1.8                                                                             n.sub.17 = 1.75520                                                                         ν.sub.17 = 27.51                              r.sub.30 = 16.704                                                                d.sub.30 = 9.5                                                             r.sub.31 = 68.984                                                                d.sub.31 = 3.5                                                                             n.sub.18 = 1.54814                                                                         ν.sub.18 = 45.78                              r.sub.32 = -383.822                                                              d.sub.32 = 0.2                                                             r.sub.33 = 27.419                                                                d.sub.33 = 4.5                                                                             n.sub.19 = 1.54814                                                                         ν.sub.19 = 45.78                              r.sub.34 =-119.733                                                               f = 16 ˜ 192                                                                         f.sub.F = 123.00                                                                           f.sub.V =-20.500                                    f.sub.C = -78.500                                                                          f.sub.E = 50.551                                                                           f.sub.M =  52.662                                         d.sub.8     d.sub.16    d.sub.19                                     f = 16   2.65        72.10       1.59                                         f = 55.43                                                                              46.28       17.08       12.98                                        f = 192  67.74       7.01        1.59                                         ______________________________________                                    

    ______________________________________                                        Embodiment 5                                                                  r.sub.1 = 222.863                                                                d.sub.1 = 12.0                                                                             n.sub.1 = 1.56873                                                                          ν.sub.1 = 63.16                               r.sub.2 = -324.366                                                               d.sub.2 = 0.2                                                              r.sub.3 = 163.746                                                                d.sub.3 = 10.5                                                                             n.sub.2 = 1.56873                                                                          ν.sub.2 = 63.16                               r.sub.4 = -1106.264                                                              d.sub.4 = 3.5                                                              r.sub.5 = -247.772                                                               d.sub.5 = 3.5                                                                              n.sub.3 = 1.76182                                                                          ν.sub.3 = 26.55                               r.sub.6 = 341.708                                                                d.sub.6 = 0.2                                                              r.sub.7 = 94.481                                                                 d.sub.7 = 13.0                                                                             n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                               r.sub.8 = -816.610                                                               d.sub.8 variable                                                           r.sub.9 = -142.872                                                               d.sub.9 = 1.0                                                                              n.sub.5 = 1.65844                                                                          ν.sub.5 = 50.90                               r.sub.10 = 38.188                                                                d.sub.10 = 6.0                                                             r.sub.11 = 238.915                                                               d.sub.11 = 1.0                                                                             n.sub.6 = 1.6544                                                                           ν.sub.6 = 50.90                               r.sub.12 = 28.492                                                                d.sub.12 = 6.5                                                             r.sub.13 =-77.070                                                                d.sub.13 = 1.0                                                                             n.sub.7 = 1.51633                                                                          ν.sub.7 = 64.15                               r.sub.14 = 24.079                                                                d.sub.14 = 4.0                                                                             n.sub.8 = 1.78472                                                                          ν.sub.8 = 25.71                               r.sub.15 = 106.026                                                               d.sub.15 variable                                                          r.sub.16 = -38.151                                                               d.sub.16 = 1.1                                                                             n.sub.9 = 1.51823                                                                          ν.sub.9 = 58.96                               r.sub.17 = 29.987                                                                d.sub.17 = 2.8                                                                             n.sub.10 = 1.54072                                                                         ν.sub.10 = 47.20                              r.sub.18 =  2871.455                                                             d.sub.18 variable                                                          r.sub.19 = 304.397                                                               d.sub.19 = 3.2                                                                             n.sub.11 = 1.48749                                                                         ν.sub.11 = 70.15                              r.sub.20 = -48.494                                                               d.sub.20 = 0.2                                                             r.sub.21 = 87.100                                                                d.sub.21 = 2.8                                                                             n.sub.12 = 1.48749                                                                         ν.sub.12 = 70.15                              r.sub.22 =-189.365                                                               d.sub.22 = 0.304                                                           r.sub.23 = 90.349                                                                d.sub.23 = 5.0                                                                             n.sub.13 = 1.47069                                                                         ν.sub.13 = 67.39                              r.sub.24 =-1331.652                                                              d.sub.24 = 0.4                                                             r.sub.25 = 34.467                                                                d.sub.25 = 9.0                                                                             n.sub.14 = 1.47069                                                                         ν.sub.14 = 67.39                              r.sub.26 = -48.453                                                               d.sub.26 = 2.0                                                                             n.sub.15 = 1.80610                                                                         ν.sub.15 = 40.92                              r.sub.27 =  117.339                                                              d.sub.27 = 18.0                                                            r.sub.28 = 88.057                                                                d.sub.28 = 2.0                                                                             n.sub.16 = 1.80518                                                                         ν.sub.16 = 25.43                              r.sub.29 = 32.739                                                                d.sub.29 = 3.0                                                             r.sub.30 = 148.485                                                               d.sub.30 = 6.5                                                                             n.sub.17 = 1.47069                                                                         ν.sub.17 = 67.39                              r.sub.31 = -45.295                                                               d.sub.31 = 0.3                                                             r.sub.32 = 31.821                                                                d.sub.32 = 6.5                                                                             n.sub.18 = 1.47069                                                                         ν.sub.18 = 67.39                              r.sub.33 =-273.756                                                               f = 16 ˜192 ,                                                                        f.sub.F = 118.000 ,                                                                        f.sub.V = 20.000                                    f.sub.c =-76.800 ,                                                                         f.sub.E = 50.864 ,                                                                         f.sub.M = 55.709                                          d.sub.8     d.sub.15    d.sub.18                                     f = 16   2.94        65.27       2.14                                         f = 55.43                                                                              45.66       11.75       12.95                                        f = 192  66.45       1.76        2.14                                         ______________________________________                                    

    ______________________________________                                        Embodiment 6                                                                  r.sub.1 = 214.145                                                                d.sub.1 = 12.0                                                                             n.sub.1 = 1.56873                                                                          ν.sub.1 = 63.16                               r.sub.2 =-331.621                                                                d.sub.2 = 0.2                                                              r.sub.3 = 163.002                                                                d.sub.3 = 10.5                                                                             n.sub.2 = 1.56873                                                                          ν.sub.2 = 63.16                               r.sub.4 =-1259.870                                                               d.sub.4 = 3.5                                                              r.sub. 5 =-277.248                                                               d.sub.5 = 3.5                                                                              n.sub.3 = 1.76182                                                                          ν.sub.3 = 26.55                               r.sub.6 = 332.597                                                                d.sub.6 = 0.2                                                              r.sub.7 = 94.687                                                                 d.sub.7 = 13.0                                                                             n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                               r.sub.8 =-1639.118                                                               d.sub.8 variable                                                           r.sub.9 =-138.707                                                                d.sub.9 = 3.5                                                                              n.sub.5 =  1.77250                                                                         ν.sub.5 = 49.60                               r.sub.10 =-70.125                                                                d.sub.10 = 1.5                                                                             n.sub.6 = 1.62374                                                                          ν.sub.6 = 47.10                               r.sub.11 = 38.021                                                                d.sub.11 = 3.0                                                             r.sub.12 = 251.015                                                               d.sub.12 = 1.0                                                                             n.sub.7 = 1.58913                                                                          ν.sub.7 = 61.11                               r.sub.13 = 28.580                                                                d.sub.13 = 6.5                                                             r.sub.14 =-74.981                                                                d.sub.14 = 1.0                                                                             n.sub.8 = 1.51633                                                                          ν.sub.8 = 64.15                               r.sub.15 = 23.871                                                                d.sub.15 = 4.0                                                                             n.sub.9 = 1.78472                                                                          ν.sub.9 = 25.71                               r.sub.16 = 69.895                                                                d.sub.16 variable                                                          r.sub.17 = 37.620                                                                d.sub.17 = 1.1                                                                             n.sub.10 = 1.51823                                                                         ν.sub.10 = 58.96                              r.sub.18 = 29.953                                                                 d.sub.18 = 2.8                                                                            n.sub.11 = 1.54072                                                                         ν.sub.11 = 47.20                              r.sub.19 =∞                                                                d.sub.19 variable                                                          r.sub.20 = 287.733                                                               d.sub.20 = 3.2                                                                             n.sub.12 = 1.48749                                                                         ν.sub.12 = 70.15                              r.sub.21 =- 39.058                                                               d.sub.21 = 0.2                                                             r.sub.22 = 84.811                                                                d.sub.22 = 2.8                                                                             n.sub.13 = 1.48749                                                                         ν.sub.13 = 70.15                              r.sub.23 =-199.315                                                               d.sub.23 = 2.069                                                           r.sub.24 = 87.487                                                                d.sub.24 = 5.0                                                                             n.sub.14 = 1.47069                                                                         ν.sub.14 = 67.39                              r.sub.25 =-1092.277                                                              d.sub.25 = 0.4                                                             r.sub.26 = 33.706                                                                d.sub.26 = 9.0                                                                             n.sub.15 = 1.47069                                                                         ν.sub.15 = 67.39                              r.sub.27 =-49.508                                                                d.sub.27 = 2.0                                                                             n.sub.16 = 1.80610                                                                         ν.sub.16 = 40.92                              r.sub.28 = 124.395                                                               d.sub.28 = 18.0                                                            r.sub.29 = 87.234                                                                d.sub.29 = 2.0                                                                             n.sub.17 = 1.80518                                                                         ν.sub.17 = 25.43                              r.sub.30 = 33.280                                                                d.sub.30 = 3.0                                                             r.sub.31 = 150.972                                                               d.sub.31 = 6.5                                                                             n.sub.18 = 1.47069                                                                         ν.sub.18 = 67.39                              r.sub.32 =-45.363                                                                d.sub.32 = 0.3                                                             r.sub.33 = 31.936                                                                d.sub.33 = 6.5                                                                             n.sub.19 =1.47069                                                                          ν.sub.19 = 67.39                              r.sub.34 =-619.487                                                               f = 16 ˜ 192 ,                                                                       f.sub.F = 118.000 ,                                                                        f.sub.V =-20.000                                    f.sub.c =-76.800 ,                                                                         f.sub.E = 50.864 ,                                                                         f.sub.M = 55.709                                          d.sub. 8    d.sub.16    d.sub.19                                     f = 16   0.97        67.49       2.13                                         f = 55.43                                                                              43.69       13.97       12.93                                        f = 192  64.47       3.99        2.13                                         ______________________________________                                    

    ______________________________________                                        Embodiment 7                                                                  r.sub.1 = 228.568                                                                d.sub.1 = 12 n.sub.1 = 1.62041                                                                          ν.sub.1 = 60.27                               r.sub.2 =-337.332                                                                d.sub.2 = 0.2                                                              r.sub.3 = 185.586                                                                d.sub.3 = 10.5                                                                             n.sub.2 = 1.62041                                                                          ν.sub.2 = 60.27                               r.sub.4 =-2299.385                                                               d.sub.4 = 3.5                                                              r.sub.5 =-265.738                                                                d.sub.5 = 3.5                                                                              n.sub.3 = 1.80518                                                                          ν.sub.3 = 25.43                               r.sub.6 = 272.548                                                                d.sub.6 = 0.2                                                              r.sub.7 = 95.394                                                                 d.sub.7 = 1.3                                                                              n.sub.4 = 1.62041                                                                          ν.sub.4 = 60.27                               r.sub.8 = ∞                                                                d.sub. 8 variable                                                          r.sub.9 = -155.890                                                               d.sub.9 = 1  n.sub.5 = 1.80440                                                                          ν.sub.5 = 39.62                               r.sub.10 = 38.198                                                                d.sub.10 = 6                                                               r.sub.11 = 229.737                                                               d.sub.11 = 1 n.sub.6 = 1.80440                                                                          ν.sub.6 = 39.62                               r.sub.12 = 28.440                                                                d.sub.12 = 5.8                                                             r.sub.13 =-78.100                                                                d.sub.13 = 1 n.sub.7 = 1.51633                                                                          ν.sub.7 = 64.15                               r.sub.14 = 24.282                                                                d.sub.14 = 4 n.sub.8 = 1.78472                                                                          ν.sub.8 = 25.71                               r.sub.15 = 749.063                                                               d.sub.15 variable                                                          r.sub.16 =-37.564                                                                d.sub.16 = 1.1                                                                             n.sub.9 = 1.51823                                                                          ν.sub.9 = 58.96                               r.sub.17 = 29.822                                                                d.sub.17 =  2.8                                                                            n.sub.10 = 1.54072                                                                         ν.sub.10 = 47.20                              r.sub.18 = ∞                                                               d.sub.18 variable                                                          r.sub.19 = 264.493                                                               d.sub.19 = 3.2                                                                             n.sub.11 = 1.48749                                                                         ν.sub.11 = 70.15                              r.sub.20 = -48.649                                                               d.sub.20 = 0.2                                                             r.sub.21 = 85.125                                                                d.sub.21 = 2.8                                                                             n.sub.12 = 1.48749                                                                         ν.sub.12 = 70.15                              r.sub.22 = -218.244                                                              d.sub.22 = 0.432                                                           r.sub.23 = 92.597                                                                d.sub.23 = 3 n.sub.13 = 1.47069                                                                         ν.sub.13 = 67.39                              r.sub.24 = -1883.862                                                             d.sub.24 = 0.4                                                             r.sub.25 = 34.572                                                                d.sub.25 = 7 n.sub.14 = 1.47069                                                                         ν.sub.14 = 67.39                              r.sub.26 = -51.651                                                               d.sub.26  = 2                                                                              n.sub.15 = 1.80610                                                                         ν.sub.15 = 40.92                              r.sub.27 = 120.011                                                               d.sub.27 = 17                                                              r.sub.28 = 88.087                                                                d.sub.28 = 2 n.sub.16 = 1.80518                                                                         ν.sub.16 = 25.43                              r.sub.29 = 33.076                                                                d.sub.29 = 3                                                               r.sub.30 = 152.630                                                               d.sub.30 = 5 n.sub.17 = 1.47069                                                                         ν.sub.17 = 67.39                              r.sub.31 =-45.103                                                                d.sub.31 = 0.3                                                             r.sub.32 = 32.127                                                                d.sub.32 = 5 n.sub. 18 = 1.47069                                                                        ν.sub.18 = 67.39                              r.sub.33 =-560.551                                                               f = 16 ˜ 192 ,                                                                       f.sub.F = 118.000 ,                                                                        f.sub.V =-20.000                                    f.sub.C = -76.800 ,                                                                        f.sub.E = 50.684 ,                                                                         f.sub.M = 55.709                                          d.sub. 8    d.sub.16    d.sub.19                                     f = 16   4.9         63.64       2.16                                         f = 55.43                                                                              47.62       10.12       12.97                                        f = 192  68.41       0.13        2.16                                         ______________________________________                                    

    ______________________________________                                        Embodiment 8                                                                  r.sub.1 = 198.376                                                                d.sub.1 = 12 n.sub.1 = 1.48749                                                                          ν.sub.1 = 70.15                               r.sub.2 = -287.314                                                               d.sub.2 = 0.2                                                              r.sub.3 = 147.755                                                                d.sub.3 = 10.5                                                                             n.sub.2 = 1.48749                                                                          ν.sub.2 = 70.15                               r.sub.4 = -1063.576                                                              d.sub.4 = 3.5                                                              r.sub.5 = -282.101                                                               d.sub.5 = 3.5                                                                              n.sub.3 = 1.78472                                                                          ν.sub.3 = 25.71                               r.sub.6 = 427.025                                                                d.sub.6 = 0.2                                                              r.sub.7 = 91.680                                                                 d.sub.7 = 13 n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                               r.sub.8 = -3639.316                                                              d.sub.8 variable                                                           r.sub.9 = -125.825                                                               d.sub.9 = 3.5                                                                              n.sub.5 = 1.77250                                                                          ν.sub.5 = 49.60                               r.sub.10 = -71.164                                                               d.sub.10 = 1.5                                                                             n.sub.6 = 1.63854                                                                          ν.sub.6 = 55.38                               r.sub.11 = 37.679                                                                d.sub.11 = 3                                                               r.sub.12 = 258.079                                                               d.sub.12 = 1 n.sub.7 = 1.63854                                                                          ν.sub.7 = 55.38                               r.sub.13 = 28.396                                                                d.sub.13 = 5.5                                                             r.sub.14 = -75.138                                                               d.sub.14 = 1 n.sub.8 = 1.51633                                                                          ν.sub.8 = 64.15                               r.sub.15 = 24.010                                                                d.sub.15 = 4 n.sub.9 = 1.78472                                                                          ν.sub.9 = 25.71                               r.sub.16 = 88.891                                                                d.sub.16 variable                                                          r.sub.17 = -36.025                                                               d.sub.17 = 1.1                                                                             n.sub.10 = 1.51823                                                                         ν.sub.10 = 58.96                              r.sub.18 = 29.786                                                                d.sub.18 = 2.8                                                                             n.sub.11 = 1.54072                                                                         ν.sub.11 = 47.20                              r.sub.19 = -930.498                                                              d.sub.19 variable                                                          r.sub.20 = 238.319                                                               d.sub.20 = 3.2                                                                             n.sub. 12 = 1.48749                                                                        ν.sub.12 = 70.15                              r.sub.21 = -50.267                                                               d.sub.21 = 0.2                                                             r.sub.22 = 79.743                                                                d.sub.22 = 2.8                                                                             n.sub.13 = 1.48749                                                                         ν.sub.13 = 70.15                              r.sub.23 = -247.922                                                              d.sub.23 = 2.306                                                           r.sub.24 = 88.429                                                                d.sub.24 = 3 n.sub.14 = 1.47069                                                                         ν.sub.14 = 67.39                              r.sub.25 =-1561.103                                                              d.sub.25 = 0.4                                                             r.sub.26 = 33.434                                                                d.sub.26 = 3 n.sub.15 = 1.47069                                                                         ν.sub.15 = 67.39                              r.sub. 27 =-54.093                                                               d.sub.27 = 2 n.sub.16 = 1.80610                                                                         ν.sub.16 = 40.92                              r.sub.28 = 133.818                                                               d.sub.28 = 24                                                              r.sub.29 = 85.928                                                                f.sub.29 = 2 n.sub.17 = 1.80518                                                                         ν.sub.17 = 25.43                              r.sub.30 = 32.968                                                                d.sub.30 = 3                                                               r.sub.31 = 151.108                                                               d.sub.31 = 6 n.sub.18 = 1.47069                                                                         ν.sub.18 = 67.39                              r.sub.32 = -43.475                                                               d.sub.32 = 0.3                                                             r.sub.33 = 33.261                                                                d.sub.33 = 6 n.sub. 19 = 1.47069                                                                        ν.sub.19 = 67.39                              r.sub.34 = -2969.684                                                             f = 16 ˜ 192 ,                                                                       f.sub.F = 118.000 ,                                                                        f.sub.V = -20.000                                   f.sub.c = -76.800 ,                                                                        f.sub.E = 50.864 ,                                                                         f.sub.M = 55.709                                          d.sub.8     d.sub.15    d.sub.18                                     f = 16   1.83        67.7        2.09                                         f = 55.43                                                                              44.55       14.17       12.9                                         f = 192  65.33       4.19        2.09                                         ______________________________________                                    

    ______________________________________                                        Embodiment 9                                                                  r.sub.1 = 432.916                                                                d.sub.1 = 3.5                                                                              n.sub.1 = 1.78472                                                                          ν.sub.1 = 25.71                               r.sub.2 = 133.442                                                                d.sub.2 = 3.5                                                              r.sub.3 = 163.874                                                                d.sub.3 = 14 n.sub.2 = 1.48749                                                                          ν.sub.2 = 70.15                               r.sub.4 = -211.889                                                               d.sub.4 = 0.2                                                              r.sub.5 = 99.310                                                                 d.sub.5 = 14 n.sub. 3 = 1.48749                                                                         ν.sub.3 = 70.15                               r.sub.6 = -1707.740                                                              d.sub.6 = 0.2                                                              r.sub.7 = 61.218                                                                 d.sub.7 = 8  n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                               r.sub.8 = 73.005                                                                 d.sub.8 variable                                                           r.sub.9 = -111.268                                                               d.sub.9 = 1.5                                                                              n.sub. 5 = 1.63854                                                                         ν.sub.5 = 55.38                               r.sub.10 = 40.356                                                                d.sub.10 = 5                                                               r.sub.11 = 502.478                                                               d.sub.11 = 1 n.sub.6 = 1.63854                                                                          ν.sub.6 =55.38                                r.sub.12 = 30.754                                                                d.sub.12 = 5                                                               r.sub.13 = -76.121                                                               d.sub.13 = 0.8                                                                             n.sub.7 = 1.54771                                                                          ν.sub.7 = 62.83                               r.sub.14 = 24.920                                                                d.sub.14 = 3.5                                                                             n.sub.8 = 1.78472                                                                          ν.sub.8 = 25.71                               r.sub.15 = 154.049                                                               d.sub.15 variable                                                          r.sub.16 = -38.093                                                               d.sub.16 = 1.2                                                                             n.sub.9 = 1.51633                                                                          ν.sub.9 = 64.15                               r.sub.17 = 30.077                                                                d.sub.17 = 2.8                                                                             n.sub.10 = 1.53256                                                                         ν.sub.10 = 45.91                              r.sub.18 =  ∞                                                              d.sub.18 variable                                                          r.sub.19 = 247.380                                                               d.sub.19 = 3.1                                                                             n.sub.11 = 1.51633                                                                         ν.sub.11 = 64.15                              r.sub.20 = -58.530                                                               d.sub.20 = 0.1                                                             r.sub.21 = 92.912                                                                d.sub.21 = 2.6                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                              r.sub.22 = -168.781                                                              d.sub.22 = 1.132                                                           r.sub.23 = 30.727                                                                d.sub.23 = 16                                                                              n.sub. 13 = 1.51633                                                                        ν.sub.13 = 64.15                              r.sub.24 =-26.889                                                                d.sub.24 = 1.8                                                                             n.sub.14 = 1.78800                                                                         ν.sub.14 = 47.49                              r.sub.25 = -93.127                                                               d.sub.25 = 0.5                                                             r.sub.26 = 29.940                                                                d.sub.26 = 5 n.sub.15 = 1.51633                                                                         ν.sub.15 = 64.15                              r.sub.27 = 77.872                                                                d.sub.27 = 1.8                                                                             n.sub.16 = 1.80518                                                                         ν.sub.16 = 25.43                              r.sub.28 = 20.027                                                                d.sub.28 = 18                                                              r.sub.29 = 65.428                                                                d.sub.29 = 5 n.sub.17 = 1.51633                                                                         ν.sub.17 = 64.15                              r.sub.30 =-87.248                                                                d.sub.30 = 0.5                                                             r.sub.31 = 43.090                                                                d.sub.31 = 3 n.sub.18 = 1.51633                                                                         ν.sub. 18 =  64.15                            r.sub.32 = 147.083                                                               f = 16 ˜ 192                                                                         f.sub.F = 120.000                                                                          f.sub.V = -21.000                                   f.sub.c = -76.800                                                                          f.sub.E = 51.665                                                                           f.sub.M = 57.025                                          d.sub.8     d.sub.15    d.sub.18                                     f = 16   8.287       70.25       1.201                                        f = 55.43                                                                              53.062      14.815      12.866                                       f = 192  74.968      3.576       1.198                                        ______________________________________                                    

    ______________________________________                                        Embodiment 10                                                                 r.sub.1 = 333.278                                                                d.sub.1 = 3.5                                                                              n.sub.1 = 1.75520                                                                          ν.sub.1 = 27.51                               r.sub.2 = 106.745                                                                d.sub.2 = 4.3                                                              r.sub.3 = 126.369                                                                d.sub.3 = 15 n.sub.2 = 1.61800                                                                          ν.sub.2 = 63.38                               r.sub.4 = 2112.235                                                               d.sub.4 = 0.2                                                              r.sub.5 = 123.752                                                                d.sub.5 = 15 n.sub.3 = 1.61800                                                                          ν.sub.3 = 63.38                               r.sub.6 = 416.781                                                                d.sub.6 = 0.2                                                              r.sub.7 = 75.824                                                                 d.sub.7 = 9  n.sub.4 = 1.61800                                                                          ν.sub.4 = 63.38                               r.sub.8 = 92.280                                                                 d.sub.8 variable                                                           r.sub.9 = -160.255                                                               d.sub.9 = 4  n.sub.5 =  1.69680                                                                         ν.sub.5 = 56.51                               r.sub.10 = -100.000                                                              d.sub.10 = 1.5                                                                             n.sub.6 = 1.58921                                                                          ν.sub.6 = 41.08                               r.sub.11 = 39.727                                                                d.sub.11 = 3.5                                                             r.sub.12 = 394.901                                                               d.sub.12 = 1.5                                                                             n.sub.7 = 1.63854                                                                          ν.sub.7 = 55.38                               r.sub.13 = 30.277                                                                d.sub.13 = 4                                                               r.sub.14 = -71.461                                                               d.sub.14 = 1 n.sub.8 = 41.51633                                                                         ν.sub.8 = 64.15                               r.sub.15 = 25.230                                                                d.sub.15 = 3.5                                                                             n.sub.9 = 1.78472                                                                          ν.sub.9 = 25.71                               r.sub.16 = 83.906                                                                d.sub.16 variable                                                          r.sub.17 = -46.646                                                               d.sub.17 = 1.2                                                                             n.sub.10 = 1.51633                                                                         ν.sub.10 = 64.15                              r.sub.18 =  29.574                                                               d.sub.18 = 2.8                                                                             n.sub.11 = 1.53256                                                                         ν.sub.11 = 45.91                              r.sub.19 = 218.510                                                               d.sub.19 variable                                                          r.sub.20 = 151.155                                                               d.sub.20 = 2.5                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                              r.sub.21 = 61.058                                                                d.sub.21 = 0.1                                                             r.sub.22 = 77.522                                                                d.sub.22 = 2.5                                                                             n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                              r.sub.23 = -542.892                                                              d.sub.23 = 1.809                                                           r.sub.24 = 35.861                                                                d.sub.24 = 17                                                                              n.sub.14 = 1.51633                                                                         ν.sub.14 = 64.15                              r.sub.25 = -27.784                                                               d.sub.25 = 1.8                                                                             n.sub.15 = 1.78300                                                                         ν.sub.15 = 36.15                              r.sub.26 = -98.518                                                               d.sub.26 = 0.5                                                             r.sub.27 =  32.787                                                               d.sub.27 = 13                                                                              n.sub.16 = 1.51633                                                                         ν.sub.16 64.15                                r.sub.28 = 73.584                                                                d.sub.28 = 1.8                                                                             n.sub.17 = 1.80518                                                                         ν.sub.17 = 25.43                              r.sub.29 = 19.690                                                                d.sub.29 = 18                                                              r.sub.30 = 61.395                                                                d.sub.30 = 5 n.sub.18 = 1.51633                                                                         ν.sub.18 = 64.15                              r.sub.31 = -96.179                                                               d.sub.31 = 0.5                                                             r.sub.32 = 40.523                                                                d.sub.32 = 3 n.sub.19 = 1.51633                                                                         ν.sub.19 = 64.15                              r.sub.33 = -576.814                                                           f = 16 ˜ 192 ,                                                                          f.sub.F = 120.000 ,                                                                        f.sub.V = -21.000                                f.sub.C = -76.800 ,                                                                           f.sub.E = 51.665 ,                                                                         f.sub.M = 57.025                                           d.sub.8    d.sub.16     d.sub.19                                    f =  16   6.521      71.839       3.366                                       f = 55.43 51.296     16.400       14.031                                      f = 192   73.202     5.161        3.363                                       ______________________________________                                    

In the above embodiments, reference symbols r₁, r₂. . . respectivelyrepresent radii of curvature of respective lens surfaces, referencesymbols d₁, d₂, . . . respectively represent thicknesses of respectivelenses and airspaces between respective lenses, reference symbols n₁,n₂, . . . respectively represent refractive indices of respectivelenses, reference symbols ν₁, ν₂, . . . respectively represent Abbe'snumbers of respective lenses, and reference symbols f_(F), f_(V), f_(C),f_(E) f_(M) and f respectively represent focal lengths of the focusinglens group, variator lens group, compensator lens group, erector lensgroup, master lens group and the lens system as a whole.

Out of the above embodiments, Embodiments 1 through 4 have lensconfiguration as shown in FIG. 1. In these embodiments, the focusinglens group consists of a positive lens, negative lens, positive lens andpositive lens arranged in the order from the object side toward theimage side. Therefore, N_(a) shown in the condition (1) corresponds ton₁, n₃ and n₄ respectively. The variator lens group consists of twonegative cemented doublets and a negative lens. Therefore, N_(b) shownin the condition (2) corresponds to n₆ and n₈ respectively and R_(a)shown in the condition (3) corresponds to r₁₆. The compensator lensgroup consists of a negative cemented doublet and the erector lens groupconsists of two positive lenses. In the master lens group, the firstlens component consists of a positive lens and a positive cementeddoublet having large thickness, the second lens component is a negativelens, the third lens component is a positive lens and the fourth lenscomponent is a positive lens. Therefore, D_(a) in the condition (4)corresponds to the thickness d₂₆ of the thick lens constituting thefirst lens component in the master lens group (i.e., the lens on theobject side in the positive cemented doublet) and D_(b) + D_(c) in thecondition (5) corresponds to d₂₈ + d₃₀.

Embodiments 5 and 7 have lens configuration as shown in FIG. 2. In theseembodiments, the focusing lens group consists of a positive lens,positive lens, negative lens and positive lens in the order from theobject side toward the image side, and N_(a) corresponds to n₁, n₂ andn₄. The variator lens group consists of two negative lenses and anegative cemented doublet. Therefore, N_(b) corresponds to n₅ and n₆ andR_(a) corresponds to r₁₅. The other lens groups have lens configurationswhich are substantially same as those shown in FIG. 1. Therefore, D_(a)corresponds to d₂₅ and D_(b) + D_(c) corresponds to d₂₇ + d₂₉.

Embodiments 6 and 8 have lens configuration as shown in FIG. 3. In theseembodiments, the variator lens group consists of a negative cementeddoublet, negative lens and negative cemented doublet arranged in theorder from the object side toward the image side. The other lens groupshave lens configurations which are substantially same as those shown inFIG. 2. Therefore, N_(b) corresponds to n₆ and n₇, R_(a) corresponds tor₁₆, D_(a) corresponds to d₂₆, and D_(b) + D_(c) corresponds to d₂₈ +d₃₀.

Embodiment 9 has lens configuration as shown in FIG. 4. In thisembodiment, the negative lens in the focusing lens group is arranged atthe position closest to the object side. That is, the focusing lensgroup consists of a negative lens, positive lens, positive lens andpositive lens in the order from the object side toward the image sideand, therefore, N_(a) corresponds to n₂, n₃ and n₄. The variator lensgroup consists of a negative lens, negative lens and negative cementeddoublet arranged in the order from the object side. Therefore, N_(b)corresponds to n₅ and n₆ and R_(a) corresponds to r₁₅. In the masterlens groups, the first lens component is of a positive cemented doublet,the second lens component is a negative cemented doublet, the third lenscomponent is a positive lens and the fourth lens component is a positivelens. Therefore, D_(a) corresponds to the thickness d₂₃ of the thicklens on the object side in the first lens, and D_(b) + D.sub. ccorresponds to d₂₅ + d₂₈.

Embodiment 10 has lens configuration as shown in FIG. 5. In thisembodiment, the variator lens group consists of a negative cementeddoublet, negative lens and negative cemented doublet arranged in theorder from the object side toward the image side. The other lens groupshave lens configurations which are substantially same as those ofEmbodiment 9. Therefore, N_(a) corresponds to n₂, n₃ and n₄, N_(b)corresponds to n₆ and n₇, R_(a) corresponds to r₁₆, D_(a) corresponds tod₂₄, and D_(b) + D_(c) corresponds to d₂₆ + d₂₉.

In Embodiments 9 and 10 out of the above embodiments, the airspace D_(c)(d₂₈ in Embodiment 9 and d₂₉ in Embodiment 10) is made large in additionto the fact that the value of D_(b) + D_(c) is selected so that itsatisfies the condition (5). By the above, it is possible to preventundercorrection of Petzval's sum of the lens system as a whole whichwill otherwise be caused due to the fact that the zooming lens groupshave strong negative powers. That is, though Petzval's sum is alreadycorrected by means of the condition (1), it is preferable to selectD_(c) so that it becomes 0.3f < D_(c) in order to correct Petzval's summore favourably by the master lens group.

Besides, as described already, the zoom lens system according to thepresent invention is arranged to prevent aggravation of aberrations,which is caused when photographing an object at a short distance, byvarying an airspace in the focusing lens group. Two or three concreteexamples of the above arrangement are described below. In theafore-mentioned Embodiment 1, it is possible to correct aberrations bymoving the first two lenses toward the object side so that the airspaced₄ is widened, and this is attained when d₄ is increased by 1 when theobject distance is 2,000 mm. It is evident from FIGS. 16A and 16B thataberrations are corrected favourably when the airspace d₄ is varied asdescribed in the above. For Embodiment 1, values of f_(I), f_(IB),f_(II) and f_(F) are f_(I) = 293.69, f_(IB) = 273.86, f_(II) = 89.9 andf_(F) = 121. In the same way, in Embodiment 8, it is possible favourablycorrect aberrations in close-up photographing by varying d₂ so that itis widened, and this is attained when d₂ is increased by 1 when theobject distance is 2,000 mm. Also, in this case, aberrations arecorrected favourably as it is evident from FIGS. 17A and 17B. ForEmbodiment 8, values of f_(I), f_(IB), f_(II) and f_(F) are f_(I) =293.69, f_(IB) = 273.86, f_(II) = 89.9 f_(F) = 118. In Embodiment 10, itis possible to favourably correct aberrations in close-up photographingby varying the airspace d₄ so that it is increased by 1 when the objectdistance is 2,000 mm. From FIGS. 18A and 18B, it is evident thataberrations are corrected favourably by varying the airspace d₄ asdescribed in the above. For Embodiment 10, values of f_(I), f_(IB),f_(II) and f_(F) are f_(I) = -209.341, f_(IB) = -208.4, f_(II) = 79.26and f_(F) = 120.

I claim:
 1. A zoom lens system with high zooming ratio comprising afocusing lens group, variator lens group, compensator lens group,erector lens group and master lens group, said focusing lens groupcomprising three positive lens components and one negative lenscomponent, said variator lens group comprising three negative lenscomponents, said compensator lens group comprising a negative cementeddoublet lens component, said erector lens group comprising two positivelens components, said master lens group comprising a first, second,third and fourth lens components, said first lens component havingpositive refractive power, said second lens component having negativerefractive power, said third lens component being a positive lens, saidfourth lens component being a positive lens, said zoom lens system withhigh zooming ratio satisfying the following conditions:

    1.45 < N.sub.a < 1.65                                      (1)

    1.57 < N.sub.b < 1.82                                      (2)

    |3f.sub.v|< |R.sub.a|  ( 3)

    0.05 f.sub.M < D.sub.a < 0.36 f.sub.M                      ( 4)

    0.24 f.sub.M < D.sub.b + D.sub.c <  0.6f.sub.M             ( 5)

wherein reference symbol N_(a) represents refractive indices of positivelenses in the focusing lens group (but, refractive indices of thoselenses may be different from each other), reference symbol N_(b)represents refractive indices of two lenses on the object side in thevariator lens group (but, refractive indices of the two lenses may bedifferent from each other and, when one or both of those lenses arecemented doublets, N_(b) represents refractive indices of negativelenses constituting those cemented doublets), reference symbol R_(a)represents the radius of curvature of the lens surface closest to theimage side in the variator lens group, reference symbol D_(a) representsthe thickness of the thick lens constituting the first lens component inthe master lens group, reference symbol D_(b) represents the airspacebetween the first and second lens components in the master lens group,reference symbol D_(c) represents the airspace between the second andthird lens components in the master lens group, reference symbol f_(V)represents the focal length of the variator lens group, and referencesymbol f_(M) represents the focal length of the master lens group.
 2. Azoom lens system with high zooming ratio according to claim 1 furthersatisfying the following condition:

    57 < ν.sub.a < 71                                       (6)

wherein reference symbol ν_(a) represents Abbe's numbers of positivelenses in the focusing lens group (but, Abbe's numbers of those lensesmay be different from each other).
 3. A zoom lens system with highzooming ratio according to claim 1 further satisfying the followingcondition:

    38 < ν.sub.b < 62                                       (7)

wherein reference symbol ν_(b) represents Abbe's numbers of the twonegative lens components on the object side in the variator lens group(but, Abbe's numbers of the two lense components may be different fromeach other and, when one or both of those lens components are cementeddoublets, ν_(b) represents Abbe's numbers of negative lensesconstituting those cemented doublets).
 4. A zoom lens system with highzooming ratio according to claim 1 further satisfying the followingcondition:

    5 | f.sub.v| < f.sub.a < 20 | f.sub.v| ( 8)

wherein reference symbol f_(a) represents the focal length of the lenscomponent closest to the image side in the variatator lens group andreference symbol f_(v) represents the focal length of the variator lensgroup.
 5. A zoom lens system with high zooming ratio according to claim1 further satisfying the following condition:

    -0.65/f.sub.F < 1/R.sub.a < 0.05/f.sub.F                   ( 9)

wherein reference symbol R_(a) represents radii of curvature of thesurfaces on the image side of the positive lens positioned closest tothe object side in the focusing lens group and/or of the positive lenspositioned just on the image side of the negative lens in the focusinglens group, and reference symbol f_(F) represents the focal length ofthe focusing lens group.
 6. A zoom lens system with high zooming ratioaccording to claim 1 further satisfying the conditions given belowwherein reference symbol f_(I) represents the focal length of a movablelens group constituting said focusing lens group and comprising thelenses arranged on the object side of an airspace in said focusing lensgroup wherein paraxial rays become approximately parallel with theoptical axis, reference symbol f_(IB) represents the back focal lengthof said movable lens group, and reference symbol f_(F) represents thefocal length of said focusing lens group, said zoom lens system withhigh zooming ratio being arranged to correct aberrations by varying saidairspace, when said zoom lens system is focused on an object at adistance different from the design object distance of said zoom lenssystem, at the same time as said focusing lens group is moved for thepurpose of focusing:

    1.5 f.sub.F < | f.sub.IB |               (10)

    f.sub.F <| f.sub.I | < 3 f.sub.F         ( 11)


7. A zoom lens system with high zooming ratio according to claim 1, inwhich said focusing lens group consists of a positive lens, negativelens, positive lens and positive lens in the order from the object sidetoward the image side.
 8. A zoom lens system with high zooming ratioaccording to claim 7, in which said variator lens group consists of twonegative cemented doublets, and one negative lens in the order from theobject side toward the image side and in which said first lens componentof said master lens group consists of a positive lens and positivecemented doublet, said second lens component is a negative lens, saidthird lens component is a positive lens, and said fourth lens componentis a positive lens, said zoom lens system with high zooming ratio havingthe following numerical data;

    ______________________________________                                        r.sub.1 = 158.296                                                               d.sub.1 = 11.5                                                                             n.sub.1 = 1.623                                                                            ν.sub.1 = 58.1                                 r.sub.2 = 2197.098                                                              d.sub.2 = 0.2                                                               r.sub.3 = 213.115                                                               d.sub.3 = 3.0                                                                              n.sub.2 = 1.805                                                                            ν.sub.2 = 25.4                                 r.sub.4 = 85.546                                                                d.sub.4 = 3.5                                                               r.sub.5 = 89.756                                                                d.sub.5 = 17.0                                                                             n.sub.3 = 1.623                                                                            ν.sub.3 = 58.1                                 r.sub.6 = 758.509                                                               d.sub.6 = 1.2                                                               r.sub.7 = 99.704                                                                d.sub.7 = 9.0                                                                              n.sub.4 = 1.623                                                                            ν.sub.4 = 58.1                                 r.sub.8 = 316.846                                                               d.sub.8 variable                                                            r.sub.9 = 429.751                                                               d.sub.9 = 6.0                                                                              n.sub.5 = 1.805                                                                            ν.sub.5 = 25.4                                 r.sub.10 = -78.647                                                               d.sub.10 = 1.8                                                                            n.sub.6 = 1.697                                                                            ν.sub.6 = 55.5                                 r.sub.11 = 37.297                                                               d.sub.11 = 4.8                                                              r.sub.12 = -223.383                                                             d.sub.12 = 3.8                                                                             n.sub.7 = 1.805                                                                            ν.sub.7 = 25.4                                 r.sub.13 = -62.115                                                              d.sub.13 = 1.2                                                                             n.sub.8 = 1.697                                                                            ν.sub.8 = 55.5                                 r.sub.14 = 65.013                                                               d.sub.14 = 4.6                                                              r.sub.15 = -36.284                                                              d.sub.15 = 1.6                                                                             n.sub.9 = 1.620                                                                            ν.sub.9 = 60.3                                 r.sub.16 = -469.412                                                             d.sub.16 variable                                                           r.sub.17 = -41.846                                                              d.sub.17 = 0.8                                                                             n.sub.10 = 1.560                                                                           ν.sub.10 = 61.1                                r.sub.18 = 40.239                                                               d.sub.18 = 2.4                                                                             n.sub.11 = 1.548                                                                           ν.sub.11 = 45.8                                r.sub. 19 = -753.479                                                            d.sub.19 variable                                                           r.sub.20 = 196.376                                                              d.sub.20 = 2.8                                                                             n.sub.12 = 1.516                                                                           ν.sub.12 = 64.2                                r.sub.21 = -64.862                                                              d.sub.21 = 0.2                                                              r.sub.22 = 77.367                                                               d.sub.22 = 2.5                                                                             n.sub.13 = 1.516                                                                           ν.sub.13 = 64.2                                r.sub.23 = -171.623                                                             d.sub.23 = 0.6                                                              r.sub.24 = 1114.209                                                             d.sub.24 = 2.5                                                                             n.sub.14 = 1.516                                                                           ν.sub.14 = 64.2                                r.sub.25 = -118.819                                                             d.sub.25 = 0.2                                                              r.sub.26 = 29.349                                                               d.sub.26 = 18.0                                                                            n.sub.15 = 1.515                                                                           ν.sub.15 = 54.7                                r.sub.27 = -28.100                                                              d.sub.27 = 1.8                                                                             n.sub.16 = 1.755                                                                           ν.sub.16 = 27.5                                r.sub.28 = 1438.933                                                              d.sub.28 = 10.8                                                            r.sub.29 = 72.293                                                               d.sub.29 = 1.8                                                                             n.sub.17 = 1.755                                                                           ν.sub.17 = 27.5                                r.sub.30 = 18.709                                                               d.sub.30 = 9.5                                                              r.sub.31 = 63.955                                                               d.sub.31 = 3.0                                                                             n.sub.18 = 1.541                                                                           ν.sub.18 = 47.2                                r.sub.32 = -200.489                                                             d.sub.32 = 0.2                                                              r.sub.33 = 32.745                                                               d.sub.33 = 4.0                                                                             n.sub.19 = 1.541                                                                           ν.sub.19 = 47.2                                r.sub.34 =-59.973                                                             f = 16 ˜ 192                                                                           f.sub.F = 121.0                                                                            f.sub.V = -20.5                                   f.sub.c = -77.44                                                                             f.sub.E = 49.8                                                                             f.sub.M = 53.3                                                 d.sub.8    d.sub.16   d.sub.19                                   f = 16       1.63       71.05      1.37                                       f = 55.43    45.3       16.32      12.43                                      f = 192      66.72      5.96       1.37                                       ______________________________________                                    

wherein reference symbols r₁ through r₃₄ respectively represent radii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₃respectively represent thickness of respective lenses and airspacesbetween respective lenses, reference symbols n₁ through n₁₉ respectivelyrepresent refractive indices of respective lenses, reference symbols ν₁through ν₁₉ respective represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V),f_(C), f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 9. A zoom lens system with high zooming ratioaccording to claim 7, in which said variator lens group consists of twonegative cemented doublets, and one negative lens in the order from theobject side toward the image side and in which said first lens componentof said master lens group consists of a positive lens and positivecemented doublet, said second lens component is a negative lens, saidthird lens component is a positive lens, and said fourth lens componentis a positive lens, said zoom lens system with high zooming ratio havingthe following numberical data:

    ______________________________________                                        r.sub.1 = 133.100                                                               d.sub.1 = 14.000                                                                           n.sub.1 = 1.56873                                                                          ν.sub.1 = 63.16                                r.sub.2 = 933.228                                                               d.sub.2 = 0.200                                                             r.sub.3 = 168.206                                                               d.sub.3 = 3.0                                                                              n.sub.2 = 1.78472                                                                          ν.sub.2 = 25.71                                r.sub.4 = 88.024                                                                d.sub.4 = 4.0                                                               r.sub.5 = 102.995                                                               d.sub.5 = 12.5                                                                             n.sub.3 = 1.48749                                                                          ν.sub.3 = 70.15                                r.sub.6 = 707.554                                                               d.sub.6 = 0.2                                                               r.sub.7 = 84.944                                                                d.sub.7 = 12.5                                                                             n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                                r.sub.8 = 31.464                                                                d.sub.8 variable                                                                           r.sub.9 = 193.259                                                d.sub.9 = 8.0                                                                              n.sub.5 = 1.80518                                                                          ν.sub.5 = 25.43                                r.sub.10 =  -79.919                                                             d.sub.10 = 1.8                                                                             n.sub.6 = 1.75700                                                                          ν.sub.6 = 47.87                                r.sub.11 = 42.365                                                               d.sub.11 = 6.4                                                              r.sub.12 = -415.180                                                             d.sub.12 = 3.2                                                                             n.sub.7 = 1.80518                                                                          ν.sub.7 = 25.43                                r.sub.13 = -60.449                                                              d.sub.13 = 1.4                                                                             n.sub.8 = 1.75700                                                                          ν.sub.8 = 47.87                                r.sub.14 = 73.901                                                               d.sub.14 = 5.2                                                              r.sub.15 = -38.899                                                              d.sub.15 = 1.4                                                                             n.sub.9 = 1.62299                                                                          ν.sub.9 = 58.14                                r.sub.16 = 194.328                                                              d.sub.16 variable                                                           r.sub.17 = -39.838                                                              d.sub.17 = 0.8                                                                             n.sub.10 = 1.55963                                                                         ν.sub.10 = 61.14                               r.sub.18 = 34.340                                                               d.sub.18 = 2.4                                                                             n.sub.11 = 1.54072                                                                         ν.sub.11  = 47.20                              r.sub.19 = -243.527                                                             d.sub.19 variable                                                           r.sub.20 = 274.360                                                              d.sub.20 = 2.5                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                               r.sub.21 = -56.628                                                              d.sub.21 = 40.1                                                             r.sub.22 = 93.570                                                               d.sub.22 = 2.5                                                                             n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                               r.sub.23 = -151.963                                                             d.sub.23 = 0.432                                                            r.sub.24 = 156.152                                                              d.sub.24 = 4.0                                                                             n.sub.14 = 1.51633                                                                         ν.sub.14 = 64.15                               r.sub.25 = -1290.335                                                            d.sub.25 = 0.2                                                              r.sub.26 = 21.067                                                               d.sub.26 = 8.5                                                                             n.sub.15 = 1.51633                                                                         ν.sub.15 = 64.15                               r.sub.27 = -31.823                                                              d.sub.27 = 1.8                                                                             n.sub.16 = 1.74400                                                                         ν.sub.16 = 44.78                               r.sub.28  = 3069.674                                                            d.sub.28 = 8.0                                                              r.sub.29 = 58.260                                                               d.sub.29 = 1.8                                                                             n.sub.17 = 1.76182                                                                         ν.sub.17 = 26.55                               r.sub.30 = 16.565                                                               d.sub.30 = 5.0                                                              r.sub.31 = 109.745                                                              d.sub.31 = 4.5                                                                             n.sub.18 = 1.51633                                                                         ν.sub.18 = 64.15                               r.sub.32 = -61.884                                                              d.sub.32 = 0.2                                                              r.sub.33 = 24.680                                                               d.sub.33 =4.5                                                                              n.sub.19 = 1.51633                                                                         ν.sub.19 = 64.15                               r.sub.34 = 166.289                                                            f = 16 ˜ 192                                                                           f.sub.F = 127.000                                                                          f.sub.V = -20.500                                 f.sub.c = -81.200                                                                            f.sub.E = 50.613                                                                           f.sub.M = 49.019                                               d.sub.8    d.sub.16   d.sub.19                                   f = 16       0.8        67.52      1.74                                       f = 55.43    44.1       11.35      14.63                                      f = 192      65.9       2.43       1.74                                       ______________________________________                                    

wherein reference symbols r₁ through r₃₄ respectively represent radii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₃respectively represent thicknesses of respective lenses and airspacesbetween respective lenses, reference symbols n₁ though n₁₉ respectivelyrepresent refractive indices of respective lenses, reference symbols ν₁through ν₁₉ respectively represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V), f_(C), f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 10. A zoom lens system with high zooming ratioaccording to claim 7, in which said variator lens group consists of twonegative cemented doublets, and one negative lens in the order from theobject side toward the image side and in which said first lens componentof said master lens group consists of a positive lens and positivecemented doublet, said second lens component is a negative lens, saidthird lens component is a positive lens, and said fourth lens componentis a positive lens, said zoom lens system with high zooming ratio havingthe following numerical data:

    ______________________________________                                        r.sub.1 = 114.335                                                               d.sub.1 = 12.0                                                                             n.sub.1 = 1.60311                                                                          ν.sub.1 = 60.70                                r.sub.2 = 736.861                                                               d.sub.2 = 0.2                                                               r.sub.3 = 196.827                                                               d.sub.3 = 3.0                                                                              n.sub.2 = 1.80518                                                                          ν.sub.2 = 25.43                                r.sub.4 = 83.472                                                                d.sub.4 = 3.5                                                               r.sub.5 = 106.493                                                               d.sub.5 = 12.0                                                                             n.sub.3 = 1.60311                                                                          ν.sub.3 = 60.70                                r.sub.6 = 570.408                                                               d.sub.6 = 0.2                                                               r.sub.7 = 96.660                                                                d.sub.7 = 10.2                                                                             n.sub.4 = 1.60311                                                                          ν.sub.4 = 60.70                                r.sub.8 = 430.980                                                               d.sub.8 variable                                                            r.sub.9 = 204.944                                                               d.sub.9 = 6.2                                                                              n.sub.5 = 1.80518                                                                          ν.sub.5 = 25.43                                r.sub.10 =  -71.740                                                             d.sub.10 = 1.5                                                                             n.sub.6 = 1.65160                                                                          ν.sub.6 = 58.67                                r.sub.11 = 36.157                                                               d.sub.11 = 5.0                                                              r.sub.12 = -148.933                                                             d.sub.12 = 2.5                                                                             n.sub.7 = 1.80518                                                                          ν.sub.7 = 25.43                                r.sub.13 = -60.792                                                              d.sub.13 = 1.2                                                                             n.sub.8 = 1.65160                                                                          84 .sub.8 = 58.67                                 r.sub.14 = 59.571                                                               d.sub.14 = 4.5                                                              r.sub.15 = -33.540                                                              d.sub.15 = 1.2                                                                             n.sub.9 = 1.62041                                                                          ν.sub.9 = 60.27                                r.sub.16 =                                                                      d.sub.16 variable                                                           r.sub.17 = -38.929                                                              d.sub.17 = 0.8                                                                             n.sub.10 = 1.55963                                                                         ν.sub.10 = 61.14                               r.sub.18 = 39.004                                                               d.sub.18 = 2.4                                                                             n.sub.11 = 1.54814                                                                         ν.sub.11 =  45.78                              r.sub.19 = -302.206                                                             d.sub.19 variable                                                           r.sub.20 = 165.358                                                              d.sub.20 = 2.8                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                               r.sub.21 = -65.321                                                              d.sub.21 = 0.2                                                              r.sub.22 = 75.611                                                               d.sub.22 = 2.5                                                                             n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                               r.sub.23 = -247.013                                                             d.sub.23 = 0.419                                                            r.sub.24 = 217.139                                                              d.sub.24 = 2.5                                                                             n.sub.14 = 1.51633                                                                         ν.sub.14 = 64.15                               r.sub.25 = -386.134                                                             d.sub.25 = 0.2                                                              r.sub.26 = 26.829                                                               d.sub.26 = 13.0                                                                            n.sub.15 = 1.51454                                                                         ν.sub.15 = 54.69                               r.sub.27 = -27.152                                                              d.sub.27 = 1.8                                                                             n.sub.16 = 1.75520                                                                         ν.sub.16 = 27.51                               r.sub.28 =  -124.632                                                            d.sub.28 = 10.8                                                             r.sub.29 = 93.905                                                               d.sub.29 = 1.8                                                                             n.sub.17 = 1.75520                                                                         ν.sub.17 = 27.51                               r.sub.30 = 16.829                                                               d.sub.30 = 9.5                                                              r.sub.31 = 69.605                                                               d.sub.31 = 3.0                                                                             n.sub.18 = 1.54814                                                                         ν.sub.18 = 45.78                               r.sub.32 = -346.516                                                             d.sub.32 = 0.2                                                              r.sub.33 = 28.706                                                               d.sub.33 = 5.0                                                                             n.sub.19 = 1.54814                                                                         ν.sub.19 = 45.78                               r.sub.34 = -87.603                                                            f = 16 ˜ 192,                                                                          f.sub.F = 122.000,                                                                         f.sub.V = -20.700                                 f.sub.C = 78.1000,                                                                           f.sub.E = 50.586,                                                                          f.sub.M = 53.553                                               d.sub.8    d.sub.16   d.sub.19                                   f = 16       0.23       72.79      1.82                                       f = 55.43    44.28      17.48      13.09                                      f = 19.2     65.96      7.07       1.82                                       ______________________________________                                    

wherein reference symbols r₁ through r₃₄ respectively represent radii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₃respectively represent thicknesses of respective lenses and airspacebetween respective lenses, reference symbols n₁ through n₁₉ respectivelyrepresent refractive indices of respective lenses, reference symbols ν₁through ν₁₉ respectively represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V), f_(C) f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 11. A zoom lens system with high zooming ratioaccording to claim 7, in which said variator lens group consists of twonegative cemented doublets, and one negative lens in the order from theobject side toward the image side and in which said first lens componentof said master lens group consists of a positive lens and positivecemented doublet, said second lens component is a negative lens, saidthird lens component is a positive lens, and said fourth lens componentis a positive lens, said zoom lens system with high zooming rationhaving the following numerical data:

    ______________________________________                                        r.sub.1 = 138.553                                                               d.sub.1 = 13.0                                                                             n.sub.1 = 1.58913                                                                          ν.sub.1 = 61.11                                r.sub.2 = 857.977                                                               d.sub.2 = 0.2                                                               r.sub.3 = 184.829                                                               d.sub.3 = 3.0                                                                              n.sub.2 = 1.80518                                                                          ν.sub.2 = 25.43                                r.sub.4  = 87.288                                                               d.sub.4  = 3.5                                                              r.sub.5  = 99.474                                                               d.sub.5  = 13.5                                                                            n.sub.3  = 1.56873                                                                         ν.sub.3  = 63.16                               r.sub.6 = 621.5800                                                              d.sub.6 = 0.2                                                               r.sub.7 = 95.396                                                                d.sub.7 = 10.5                                                                             n.sub.4 = 1.56873                                                                          ν.sub.4 = 63.16                                r.sub.8 = 504.051                                                               d.sub.8  variable                                                           r.sub.9  = 243.444                                                              d.sub.9  = 6.0                                                                             n.sub.5  = 1.80518                                                                         ν.sub.5  = 25.43                               r.sub.10  =  -80.163                                                            d.sub.10  = 1.8                                                                            n.sub.6  = 1.69350                                                                         ν.sub.6  = 53.34                               r.sub.11  = 37.603                                                              d.sub.11 = 4.2                                                              r.sub.12 = -241.260                                                             d.sub.12 = 3.8                                                                             n.sub.7 = 1.80518                                                                          ν.sub.7 = 25.43                                r.sub.13 = -62.447                                                              d.sub.13 = 1.2                                                                             n.sub.8 = 1.69350                                                                          ν.sub.8 = 53.34                                r.sub.14 = 65.878                                                               d.sub.14 = 4.5                                                              r.sub.15 = -37.701                                                              d.sub.15 = 1.2                                                                             n.sub.9 = 1.62041                                                                          ν.sub.9 = 60.27                                r.sub.16 = 309.752                                                              d.sub.16 variable                                                           r.sub.17 = -36.678                                                              d.sub.17 = 0.8                                                                             n.sub.10 = 1.55963                                                                         ν.sub.10 = 61.14                               r.sub.18 = 35.175                                                               d.sub.18 = 2.4                                                                             n.sub.11 = 1.54814                                                                         ν.sub.11  = 45.78 -r.sub.19 = -198.614           d.sub.19 variable                                                                          r.sub.20 = 194.216                                               d.sub.20 = 2.8                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                               r.sub.21 = -62.779                                                              d.sub.21 = 0.2                                                              r.sub.22 = 77.005                                                               d.sub.22 = 2.5                                                                             n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                               r.sub.23 = -218.172                                                             d.sub.23 = 0.061                                                            r.sub.24 = 171.270                                                              d.sub.24 = 2.5                                                                             n.sub.14 = 1.51633                                                                         ν.sub.14 = 64.15                               r.sub.25 = -346.014                                                             d.sub.25 = 0.2                                                              r.sub.26 = 26.364                                                               d.sub.26 = 11.0                                                                            n.sub.15 = 1.51454                                                                         ν.sub.15 = 54.69                               r.sub.27 = -28.399                                                              d.sub.27 = 1.8                                                                             n.sub.16 = 1.75520                                                                         ν.sub.16 = 27.51                               r.sub.28 =  -122.545                                                            d.sub.28 = 10.8                                                             r.sub.29 = 97.359                                                               d.sub.29 = 1.8                                                                             n.sub.17 = 1.75520                                                                         ν.sub.17 = 27.51                               r.sub.30 = 16.704                                                               d.sub.30 = 9.5                                                              r.sub.31 = 68.984                                                               d.sub.31 = 3.5                                                                             n.sub.18 = 1.54814                                                                         ν.sub.18 = 45.78                               r.sub.32 = -383.822                                                             d.sub.32 = 0.2                                                              r.sub.33 = 27.419                                                               d .sub.33 = 4.5                                                                            n.sub.19 = 1.54814                                                                         ν.sub.19 = 45.78                               r.sub.34 = -119.733                                                           f = 16 ˜ 192                                                                           f.sub.F = 123.00                                                                           f.sub.V = -20.500                                 f.sub.C = -78.500                                                                            f.sub.E = 50.551                                                                           f.sub.M = 52.662                                               d.sub.8    d.sub.16   d.sub.19                                   f = 16       2.65       72.10      1.59                                       f = 55.43    46.28      17.08      12.98                                      f = 192      67.74      7.01       1.59                                       ______________________________________                                    

wherein reference symbols r₁ through r₃₄ respectively represent radii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₃respectively represent thicknesses of respective lenses and airspacesbetween respective lenses, reference symbols n₁ through n19 respectivelyrepresent refractive indices of respective lenses, reference symbols ν₁through ν₁₉ respectively represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V), f_(C), f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 12. A zoom lens system with high zooming ratioaccording to claim 8 further arranged to correct abberations by varyingsaid airspace d₄, when said zoom lens system is focused on an object ata distance different from the design object distance of said zoom lenssystem, at the same time as said focusing lens group is moved for thepurpose of focusing.
 13. A zoom lens system with high zooming ratioaccording to claim 1, in which said focusing lens group consists of apositive lens, positive lens, negative lens and positive lens in theorder from the object side toward the image side.
 14. A zoom lens systemwith zooming ratio according to claim 13, in which said variator lensgroup consists of two negative lenses and one negative cemented doubletin the order from the object side toward the image side and in whichsaid first lens component of said master lens group consists of apositive lens and positive cemented doublet, said second lens componentis a negative lens, said third lens component is a positive lens andsaid fourth lens component is a positive lens, said zoom lens systemwith high zooming ratio having the following numerical data:

    ______________________________________                                        r.sub.1 = 222.863                                                               d.sub.1 = 12.0                                                                             n.sub.1 = 1.56873                                                                          ν.sub.1 = 63.16                                r.sub.2 = -324.366                                                              d.sub.2 = 0.2                                                               r.sub.3 = 163.746                                                               d.sub.3 = 10.5                                                                             n.sub.2 = 1.56873                                                                          ν.sub.2 = 63.16                                r.sub.4 = -1106.264                                                             d.sub.4 = 3.5                                                               r.sub.5 = -247.772                                                              d.sub.5 = 3.5                                                                              n.sub.3 = 1.76182                                                                          ν.sub.3 = 26.55                                r.sub.6 = 341.708                                                               d.sub.6 = 0.2                                                               r.sub.7 = 94.481                                                                d.sub.7 = 13.0                                                                             n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                                r.sub.8 = -816.610                                                              d .sub.8 variable                                                           r.sub.9 =  142.872                                                              d.sub.9 = 1.0                                                                              n.sub.5 = 1.65844                                                                          ν.sub.5 = 50.90                                r.sub. 10 = 38.188                                                              d.sub.10 = 6.0                                                              r.sub.11 = 238.915                                                              d.sub.11 = 1.0                                                                             n.sub.6 = 1.65844                                                                          ν.sub.6 = 50.90                                r.sub.12 = 28.492                                                              10 d.sub.12 = 6.5                                                            r.sub.13 = 77.070                                                               d.sub.13 = 1.0                                                                             n.sub.7 = 1.51633                                                                          ν.sub.7 = 64.15                                r.sub.14 = 24.079                                                               d.sub.14 = 4.0                                                                             n.sub.8 = 1.78472                                                                          ν.sub.8 = 25.71                                r.sub.15 = 106.026                                                              d.sub.15 variable                                                           r.sub.16 = -38.151                                                              d.sub.16 = 1.1                                                                             n.sub.9 = 1.51823                                                                          ν.sub.9 = 58.96                                r.sub.17 = 29.987                                                               9.sub.17 = 2.8                                                                             n.sub.10 = 1.54072                                                                         ν.sub.10 = 47.20                               r.sub.18 = 2871.455                                                             d.sub.18 variable                                                           r.sub.19 = 304.397                                                              d.sub.19 = 3.2                                                                             n.sub. 11 = 1.48749                                                                        ν.sub.11 = 70.15                               r.sub.20 = -48.494                                                              d.sub.20 = 0.2                                                              r.sub.21 = 87.100                                                               d.sub.21 = 2.8                                                                             n.sub.12 = 1.48749                                                                         ν.sub.12 = 70.15                               r.sub.22 = -189.365                                                              d.sub.22 = 0.304                                                                          23 = 90.349                                                      d.sub.23 = 5.0                                                                             n.sub.13 = 1.47069                                                                         ν.sub.13 = 67.39                               r.sub.24 = -1331.652                                                            d.sub.24 = 0.4                                                              r.sub.25 = 34.467                                                               d.sub.25 = 9.0                                                                             n.sub.14 = 1.47069                                                                         ν.sub.14 = 67.39                               r.sub.26 = -48.453                                                              d.sub.26 = 2.0                                                                             n.sub.15 = 1.80610                                                                         ν.sub.15 =  40.92                              r.sub.27 = 117.339                                                              d.sub.27 = 18.0                                                             r.sub.28 = 88.057                                                               d.sub.28 = 2.0                                                                             n.sub. 16 = 1.80518                                                                        ν.sub.16 = 25.43                               r.sub.29 = 32.739                                                               d.sub.29 = 3.0                                                              r.sub.30 = 148.485                                                              d.sub.30 = 6.5                                                                             n.sub.17 = 1.47069                                                                         ν.sub.17 = 67.39                               r.sub.31 = -45.295                                                              d.sub.31 = 0.3                                                              r.sub.32 = 31.821                                                               d.sub.32 = 6.5                                                                             n.sub.18 = 1.47069                                                                         ν.sub.18 = 67.39                               r.sub.33 = -273. 756                                                          f = 16 ˜ 192 ,                                                                         f.sub.F = 118.000 ,                                                                        f.sub.V = 20.000                                  f.sub.c = -76.800 ,                                                                          f.sub.E = 50.864 ,                                                                         f.sub.M = 55.709                                               d.sub.8    d.sub.15   d.sub.18                                   f = 16       2.94       65.27      2.14                                       f = 55.43    45.66      11.75      12.95                                      f = 192      66.45      1.76       2.14                                       ______________________________________                                    

wherein reference symbols r₁ through r₃₃ respectively represent rodii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₂respectively represent thicknesses of respectively lenses and airspacesbetween respective lenses, reference symbols n₁ through n₁₈ respectivelyrepresent refractive indices of respective lenses, reference symbols ν₁through ν₁₈ respectively represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V), f_(C), f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 15. A zoom lens system with high zooming ratioaccording to claim 13, in which said variator lens group consists of twonegative lenses and one negative cemented doublet in the order from theobject side toward the image side and in which said first lens componentof said master lens group consists of a positive lens and positivecemented doublet, said second lens component is a negative lens, saidthird lens component is a positive lens, and said fourth lens componentis a positive lens, said zoom lens system with high zooming ratio havingthe following numerical data:

    ______________________________________                                        r.sub.1 = 228.568                                                               d.sub.1 = 12 n.sub.1 = 1.62041                                                                          ν.sub.1 = 60.27                                r.sub.2 = -337.332                                                              d.sub.2 = 0.2                                                               r.sub.3 = 185.586                                                               d.sub.3 = 10.5                                                                             n.sub.2 = 1.62041                                                                          ν.sub.2 = 60.27                                r.sub.4 = -2299.385                                                             d.sub.4 = 3.5                                                               r.sub.5 = -265.738                                                              d.sub.5 = 3.5                                                                              n.sub.3 = 1.80518                                                                          ν.sub.3 = 25.43                                r.sub.6 = 272.548                                                               d.sub.6 = 0.2                                                               r.sub.7 = 95.394                                                                d.sub.7 = 1.3                                                                              n.sub.4 = 1.62041                                                                          ν.sub.4 = 60.27                                r.sub.8 = ∞                                                               d.sub.8 variable                                                            r.sub.9 = -155.890                                                              d.sub.9 = 1  n.sub.5 = 1.80440                                                                          ν.sub.5 = 39.62                                r.sub.10 = 38.198                                                               d.sub.10 = 6                                                                r.sub.11 = 229.737                                                              d.sub.11 = 1 n.sub.6 = 1.80440                                                                          ν.sub.6 = 39.62                                r.sub.12 = 28.440                                                               d.sub.12 = 5.8                                                              r.sub.13 = -78.100                                                              d.sub.13 = 1 n.sub.7 = 1.51633                                                                          ν.sub.7 = 64.15                                r.sub.14 = 24.282                                                               d.sub.14 = 4 n.sub.8 = 1.78472                                                                          ν.sub.8 = 25.71                                r.sub.15 = 749.063                                                              d.sub.15 variable                                                           r.sub.16 = -37.564                                                              d.sub.16 = 1.1                                                                             n.sub.9 = 1.51823                                                                          ν.sub.9 = 58.96                                r.sub.17 = 29.822                                                               d.sub.17 = 2.8                                                                             n.sub.10 = 1.54072                                                                         ν.sub.10 = 47.20                               r.sub.18 = ∞                                                              d.sub.18 variable                                                           r.sub.19 = 264.493                                                              d.sub.19 = 3.2                                                                             n.sub.11 = 1.48749                                                                         ν.sub.11 = 70.15                               r.sub.20 = -48.649                                                              d.sub.20 = 0.2                                                              r.sub.21 = 85.125                                                               d.sub.21 = 2.8                                                                             n.sub.12 = 1.48749                                                                         ν.sub.12 = 70.15                               r.sub.22 = -218.244                                                             d.sub.22 = 0.432                                                            r.sub.23 = 92.597                                                               d.sub.23 = 3 n.sub.13 = 1.47069                                                                         ν.sub.13 = 67.39                               r.sub.24 = -1883.862                                                            d.sub.24 = 0.4                                                              r.sub.25 = 34.572                                                               d.sub.25 = 7 n.sub.14 = 1.47069                                                                         ν.sub.14 = 67.39                               r.sub.26 = -51.651                                                              d.sub.26 = 2 n.sub.15 = 1.80610                                                                         ν.sub.15 = 40.92                               r.sub.27 = 120.011                                                              d.sub.27 = 17                                                               r.sub.28 = 88.087                                                               d.sub.28 = 2 n.sub. 16 = 1.80518                                                                        ν.sub.16 = 25.43                               r.sub.29 = 33.076                                                               d.sub.29 = 3                                                                r.sub.30 = 152.630                                                              d.sub.30 = 5 n.sub.17 = 1.47069                                                                         ν.sub.17 = 67.39                               r.sub.31 = -45.103                                                              d.sub.31 = 0.3                                                              r.sub.32 = 32.127                                                               d.sub.32 = 5 n.sub.18 = 1.47069                                                                         ν.sub.18 = 67.39                               r.sub.33 = -560.551                                                           f = 16 ˜ 192 ,                                                                         f.sub.F = 118.000 ,                                                                        f.sub.V = -20.000                                 f.sub.C = -76.800 ,                                                                          f.sub.E = 50.684 ,                                                                         f.sub.M = 55.709                                               d.sub.8    d.sub.16   d.sub.19                                   f = 16       4.9        63.64      2.16                                       f = 55.43    47.62      10.12      12.97                                      f = 192      68.41      0.13       2.16                                       ______________________________________                                    

wherein reference symbols r₁ through r₃₃ respectively represent radii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₂respectively represent thicknesses of respective lenses and airspacesbetween respective lenses, reference symbols n₁ through n₁₈ respectivelyrepresent refractive indices of respective lenses, reference symbols ν₁through ν₁₈ respectively represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V), f_(C), f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 16. A zoom lens system with high zooming ratioaccording to claim 13, in which said variator lens group consists of anegative cemented doublet, negative lens and negative cemented doubletin the order from the object side toward the image side and in whichsaid first lens component of said master lens group consists of apositive lens and positive cemented doublet, said second lens componentis a negative lens, said third lens component is a positive lens, andsaid fourth lens component is a positive lens, said zoom lens systemwith high zooming ratio having the following numerical data:

    ______________________________________                                        r.sub.1 = 214.145                                                              d.sub.1 = 12.0                                                                              n.sub.1 = 1.56873                                                                          ν.sub.1 = 63.16                                r.sub.2 = -331.621                                                             d.sub.2 = 0.2                                                                r.sub.3 = 163.002                                                              d.sub.3 = 10.5                                                                              n.sub.2 = 1.56873                                                                          ν.sub.2 = 63.16                                r.sub.4 = -1259.870                                                            d.sub.4 = 3.5                                                                r.sub.5 = 277.248                                                              d.sub.5 = 3.5 n.sub.3 = 1.76182                                                                          ν.sub.3 = 26.55                                r.sub.6 = 332.597                                                              d.sub.6 = 0.2                                                                r.sub.7 = 94.687                                                               d.sub.7 = 13.0                                                                              n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                                r.sub.8 = -1639.118                                                            d.sub.8 variable                                                             r.sub.9 = -138.707                                                             d.sub.9 = 3.5 n.sub.5 = 1.77250                                                                          ν.sub.5 = 49.60                                r.sub.10 = -70.125                                                             d.sub. 10 = 1.5                                                                             n.sub.6 = 1.62374                                                                          ν.sub.6 = 47.10                                r.sub.11 = 38.021                                                              d.sub.11 = 3.0                                                               r.sub.12 = 251.015                                                             d.sub.12 = 1.0                                                                              n.sub.7 = 1.58913                                                                          ν.sub.7 = 61.11                                r.sub.13 = 28.580                                                              d.sub.13 = 6.5                                                               r.sub.14 = -74.981                                                             d.sub.14 = 1.0                                                                              n.sub.8 = 1.51633                                                                          ν.sub.8 = 64.15                                r.sub.15 = 23.871                                                              d.sub.15 = 4.0                                                                              n.sub.9 = 1.78472                                                                          ν.sub.9 = 25.71                                r.sub.16 = 69.895                                                              d.sub.16 variable                                                            r.sub.17 = -37.620                                                             d.sub.17 = 1.1                                                                              n.sub.10 = 1.51823                                                                         ν.sub.10 = 58.96                               r.sub.18 = 29.953                                                              d.sub.18 = 2.8                                                                              n.sub.11 = 1.54072                                                                         ν.sub.11 = 47.20                               r.sub.19 = ∞                                                             d.sub.19 variable                                                            r.sub. 20 = 287.733                                                            d.sub.20 = 3.2                                                                              n.sub.12 = 1.48749                                                                         ν.sub.12 = 70.15                               r.sub.21 = -49.058                                                             d.sub.21 = 0.2                                                               r.sub.22 = 84.811                                                              d.sub.22 = 2.8                                                                              n.sub.13 = 1.48749                                                                         ν.sub.13 = 70.15                               r.sub.23 = -199.315                                                            d.sub.23 = 2.069                                                             r.sub.24 = 87.487                                                              d.sub.24 = 5.0                                                                              n.sub.14 = 1.47069                                                                         ν.sub.14 = 67.39                               r.sub.25 = -1092.277                                                           d.sub.25 = 0.4                                                               r.sub.26 = 33.706                                                              d.sub.26 = 9.0                                                                              n.sub.15 = 1.47069                                                                         ν.sub.15 = 67.39                               r.sub.27 = -49.508                                                             d.sub.27 = 2.0                                                                              n.sub.16 = 1.80610                                                                         ν.sub.16 = 40.92                               r.sub.28 = 124.395                                                             d.sub.28 = 18.0                                                              r.sub.29 = 87.234                                                              d.sub.29 = 2.0                                                                              n.sub.17  = 1.80518                                                                        ν.sub.17 = 25.43                               r.sub.30 = 33.280                                                              d.sub.30 = 3.0                                                               r.sub.31 = 150.972                                                             d.sub.31 = 6.5                                                                              n.sub.18 = 1.47069                                                                         ν.sub.18 = 67.39                               r.sub.32 = -45.363                                                             d.sub.32 = 0.3                                                               r.sub.33 = 31.936                                                              d.sub.33 = 6.5                                                                              n.sub.19 = 1.47069                                                                         ν.sub.19 = 67.39                               r.sub.34 = -619.487                                                           f = 16 ˜ 192 ,                                                                         f.sub.F = 118.000 ,                                                                        f.sub.V = -20.000                                 f.sub.c = -76.800 ,                                                                          f.sub.E = 50.864 ,                                                                         f.sub.M = 55.709                                               d.sub.8    d.sub.16  d.sub.19                                    f = 16       0.97       67.49     2.13                                        f = 55.43    43.69      13.97     12.93                                       f = 192      64.47      3.99      2.13                                        ______________________________________                                    

wherein reference symbols r₁ through r₃₄ respectively represent radii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₃respectively represent thicknesses of respective lenses and airspacesbetween respective lenses, reference symbols n₁ through n₁₉ respectivelyrepresent refractive indices of respective lenses, reference symbols ν₁through ν₁₉ respectively represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V), f_(C), f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 17. A zoom lens system with high zooming ratioaccording to claim 13, in which said variator lens group consists of anegative cemented doublet, negative lens and negative cemented doubletin the order from the object side toward the image side and in whichsaid first lens component of said master lens group consists of apositive lens and positive cemented doublet, said second lens componentis a negative lens, said third lens component is a positive lens, andsaid fourth lens component is a positive lens, said zoom lens systemwith high zooming ratio having the following numerical data:

    ______________________________________                                        r.sub.1 = 198.376                                                              d.sub.1 = 12  n.sub.1 = 1.48749                                                                          ν.sub.1 = 70.15                                r.sub.2 = -287.314                                                             d.sub.2 = 0.2                                                                r.sub.3 = 147.755                                                              d.sub.3 = 10.5                                                                              n.sub.2 = 1.48749                                                                          ν.sub.2 = 70.15                                r.sub.4 = 1063.576                                                             d.sub.4 = 3.5                                                                r.sub.5 = 282.101                                                              d.sub.5 = 3.5 n.sub.3 = 1.78472                                                                          ν.sub.3 = 25.71                                r.sub.6 = 427.025                                                              d.sub.6 = 0.2                                                                r.sub.7 = 91.680                                                               d.sub.7 = 13  n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                                r.sub.8 = 3639.316                                                             d.sub.8 variable                                                             r.sub.9 = -125.825                                                             d.sub.9 = 3.5 n.sub.5 = 1.77250                                                                          ν.sub.5 = 49.60                                r.sub.10 = -71.164                                                             d.sub.10  = 1.5                                                                             n.sub.6 = 1.63854                                                                          ν.sub.6 = 55.38                                r.sub.11 = 37.679                                                              d.sub.11 = 3                                                                 r.sub.12 = 258.079                                                             d.sub.12 = 1  n.sub.7 = 1.63854                                                                          ν.sub.7 = 55.38                                r.sub.13 = 28.396                                                              d.sub.13 = 5.5                                                               r.sub.14 = 75.138                                                              d.sub.14 = 1  n.sub.8 = 1.51633                                                                          ν.sub.8 = 64.15                                r.sub.15 = 24.010                                                              d.sub.15 =4   n.sub.9 = 1.78472                                                                          ν.sub.9 = 25.71                                r.sub.16 = 88.891                                                              d.sub.16 variable                                                            r.sub.17 = 36.025                                                              d.sub.17 = 1.1                                                                              n.sub.10 = 1.51823                                                                         ν.sub.10 = 58.96                               r.sub.18 = 29.786                                                              d.sub.18 = 2.8                                                                              n.sub.11 = 1.54072                                                                         ν.sub.11 = 47.20                               r.sub.19 = -930.498                                                            d.sub.19 variable                                                            r.sub.20 = 238.319                                                              d.sub.20 = 3.2                                                                             n.sub.12 = 1.48749                                                                         ν.sub.12 = 70.15                               r.sub. 21 = 50.267                                                             d.sub.21 = 0.2                                                               r.sub.22 = 79.743                                                              d.sub.22 = 2.8                                                                              n.sub.13 = 1.48749                                                                         ν.sub.13 = 70.15                               r.sub.23 = 247.922                                                             d.sub.23 = 2.306                                                             r.sub.24 = 88.429                                                              d.sub.24 = 3  n.sub.14 = 1.47069                                                                         ν.sub.14 = 67.39                               r.sub.25 = 1561.103                                                            d.sub.25 = 0.4                                                               r.sub.26 = 33.434                                                              d.sub.26 = 3  n.sub.15 = 1.47069                                                                         ν.sub.15 = 67.39                               r.sub.27 = -54.093                                                             d.sub.27 = 2  n.sub.16 = 1.80610                                                                         ν.sub.16 = 40.92                               r.sub.28 = 133.818                                                             d.sub.28 = 24                                                                r.sub.29 = 85.928                                                              f.sub.29 = 2  n.sub.17 = 1.80518                                                                         ν.sub.17  = 25.43                              r.sub.30 = 32.968                                                              d.sub.30 = 3                                                                 r.sub.31 = 151.108                                                             d.sub.31 = 6  n.sub.18 = 1.47069                                                                         ν.sub.18 = 67.39                               r.sub.32 = 43.475                                                              d.sub.32 = 0.3                                                               r.sub.33 = 33.261                                                              d.sub.33 = 6  n.sub.19 = 1.47069                                                                         ν.sub.19 = 67.39                               r.sub.34 = 2969.684                                                           f = 16 ˜ 192 ,                                                                         f.sub.F = 118.000 ,                                                                        f.sub.V = -20.000                                 f.sub.c = -76.800 ,                                                                          f.sub.E = 50.864 ,                                                                         f.sub.M = 55.709                                               d.sub.8    d.sub.15  d.sub.18                                    f = 16       1.83       67.7      2.09                                        f = 55.43    44.55      14.17     12.9                                        f = 192      65.33      4.19      2.09                                        ______________________________________                                          wherein reference symbols r.sub.1 through r.sub.34 respectively represent     radii of curvature of respective lens surfaces, reference symbols d.sub.1     through d.sub.33 respectively represent thicknesses of respective lenses     and airspaces between respective lenses, reference symbols n.sub.1 through     n.sub.19 respectively represent refractive indices of respective lenses,     reference symbols ν.sub.1 through ν.sub.19 respectively represent     Abbe's numbers of respective lenses, reference symbols f.sub.F, f.sub.V,     f.sub.C, f.sub.E, f.sub.M and f respectively represent focal lengths of     the focusing lens group, variator lens group, compensator lens group,     erector lens group, master lens group and the lens system as a whole.


18. A zoom lens system with high zooming ratio according to claim 17further arranged to correct aberrations by varying said airspace d₂,when said zoom lens system is focused on an object at a distancedifferent from the design object distance of said zoom lens system, atthe same time as said focusing lens group is moved for the purpose offocusing.
 19. A zoom lens system with high zooming ratio according toclaim 1, in which said focusing lens group consists of a negative lens,positive lens, positive lens and positive lens in the order from theobject side toward the image side.
 20. A zoom lens system with highzooming ratio according to claim 19, in which said variator lens groupconsists of two negative lenses and one negative cemented doublet in theorder from the object side toward the image side and in which said firstlens component of said master lens group is a positive cemented doublet,said second lens component is a negative cemented doublet, said thirdlens component is a positive lens, and said fourth lens component is apositive lens, said zoom lens system with high zooming ratio having thefollowing numerical data:

    ______________________________________                                        r.sub.1 = 432.916                                                              d.sub.1 = 3.5 n.sub.1 = 1.78472                                                                          ν.sub.1 = 25.71                                r.sub.2 = 133.442                                                              d.sub.2 = 3.5                                                                r.sub.3 = 163.874                                                              d.sub.3 = 14  n.sub.2 = 1.48749                                                                          ν.sub.2 = 70.15                                r.sub.4 = -211.889                                                             d.sub.4 = 0.2                                                                r.sub.5 = 99.310                                                               d.sub.5 = 14  n.sub.3 = 1.48749                                                                          ν.sub.3 = 70.15                                r.sub.6 = 1707.740                                                             d.sub.6 = 0.2                                                                r.sub.7 = 61.218                                                               d.sub.7 = 8   n.sub.4 = 1.48749                                                                          ν.sub.4 = 70.15                                r.sub.8 = 73.005                                                               d.sub.8 variable                                                             r.sub.9 = 111.268                                                              d.sub.9 = 1.5 n.sub.5 = 1.63854                                                                          ν.sub.5 = 55.38                                r.sub.10 = 40.356                                                              d.sub.10 = 5                                                                 r.sub. 11 = 502.478                                                            d.sub.11 = 1  n.sub.6 = 1.63854                                                                          ν.sub.6 = 55.38                                r.sub.12 = 30.754                                                              d.sub.12 = 5                                                                 r.sub.13 = -76.121                                                             d.sub.13 = 0.8                                                                              n.sub.7 = 1.54771                                                                          ν.sub.7 = 62.83                                r.sub.14 = 24.920                                                              d.sub.14 = 3.5                                                                              n.sub.8 = 1.78472                                                                          ν.sub.8 = 25.71                                r.sub.15 = 154.049                                                             d.sub.15 variable                                                            r.sub.16 = 38.093                                                              d.sub.16 = 1.2                                                                              n.sub.9 = 1.51633                                                                          ν.sub.9 = 64.15                                r.sub.17 = 30.077                                                              d.sub.17 = 2.8                                                                              n.sub.10 = 1.53256                                                                         ν.sub.10 = 45.91                               r.sub.18 = ∞                                                             d.sub.18 variable                                                            r.sub.19 = 247.380                                                             d.sub.19 = 3.1                                                                              n.sub.11 = 1.51633                                                                         ν.sub.11 = 64.15                               r.sub.20 = -58.530                                                              d.sub.20 = 0.1                                                              r.sub.21 = 92.912                                                              d.sub.21 = 2.6                                                                              n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                               r.sub.22 = -168.781                                                            d.sub.22 = 1.132                                                             r.sub.23 = 30.727                                                              d.sub.23 = 16 n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                               r.sub.24 = 26.889                                                              d.sub.24 = 1.8                                                                              n.sub.14 = 1.78800                                                                         ν.sub.14 = 47.49                               r.sub.25 = -93.127                                                             d.sub.25 = 0.5                                                               r.sub.26 = 29.940                                                              d.sub.26 = 5  n.sub.15 = 1.51633                                                                         ν.sub.15 = 64.15                               r.sub.27 = 77.872                                                              d.sub.27 = 1.8                                                                              n.sub.16 = 1.80518                                                                         ν.sub.16 = 25.43                               r.sub.28 = 20.027                                                              d.sub.28 = 18                                                                r.sub.29 = 65.428                                                              d.sub.29 = 5  n.sub.17 = 1.51633                                                                         ν.sub.17  = 64.15                              r.sub.30 = -87.248                                                             d.sub.30 = 0.5                                                               r.sub.31 = 43.090                                                              d.sub.31 = 3  n.sub.28 = 1.51633                                                                         ν.sub.18 = 64.15                               r.sub.32 = 147.083                                                            f = 16 ˜ 192 ,                                                                         f.sub.F = 120.000 ,                                                                        f.sub.V = -21.000                                 f.sub.c = 76.800 ,                                                                           f.sub.E = 51.665 ,                                                                         f.sub.M = 57.025                                               d.sub.8    d.sub.15  d.sub.18                                    f = 16       8.287      70.25     1.201                                       f = 55.43    53.062     14.815    12.866                                      f = 192      74.968     3.576     1.198                                       ______________________________________                                    

wherein reference symbols r₁ through r₃₂ respectively represent radii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₁respectively represent thicknesses of respective lenses and airspacesbetween respective lenses, reference symbols n₁ through n₁₈ respectivelyrepresent refractive indices of respective lenses, reference symbols 1through 18 respectively represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V) f_(C), f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 21. A zoom lens system with high zooming ratioaccording to claim 19, in which said variator lens group consists of anegative cemented doublet, negative lens and negative cemented doubletin the order from the object side toward the image side and in whichsaid first lens component of said master lens group is a positivecemented doublet, said second lens component is a negative cementeddoublet, said third lens component is a positive lens, and said fourthlens component is a positive lens, said zoom lens system with highzooming ratio having the following numerical data:

    ______________________________________                                        r.sub.1 = 333.278                                                              d.sub.1 = 3.5 n.sub.1 = 1.75520                                                                          ν.sub.1 = 27.51                                r.sub.2 = 106.745                                                              d.sub.2 = 4.3                                                                r.sub.3 = 126.369                                                              d.sub.3 = 15  n.sub.2 = 1.61800                                                                          ν.sub.2 = 63.38                                r.sub.4 = 2112.235                                                             d.sub.4 = 0.2                                                                r.sub.5 = 123.752                                                              d.sub.5 = 15  n.sub.3 = 1.61800                                                                          ν.sub.3 = 63.38                                r.sub.6 = 416.781                                                              d.sub.6 = 0.2                                                                r.sub.7 = 75.824                                                               d.sub.7 = 9   n.sub.4 = 1.61800                                                                          ν.sub.4 = 63.38                                r.sub.8 = 92.280                                                               d.sub.8 variable                                                             r.sub.9 = 160.255                                                              d.sub.9 = 4   n.sub.5 = 1.69680                                                                          ν.sub.5 = 56.51                                r.sub.10 = 100.000                                                             d.sub.10 = 1.5                                                                              n.sub.6 = 1.58921                                                                          ν.sub.6 = 41.08                                r.sub.11 = 39.727                                                              d.sub.11 = 3.5                                                               r.sub.12 = 394.901                                                             d.sub.12 = 1.5                                                                              n.sub.7 = 1.63854                                                                          ν.sub.7 = 55.38                                r.sub.13 = 30.277                                                              d.sub.13 = 4                                                                 r.sub.14 = 71.461                                                              d.sub.14 = 1  n.sub.8 = 1.51633                                                                          ν.sub.8 = 64.15                                r.sub.15 = 25.230                                                              d.sub.15 = 3.5                                                                              n.sub.9 = 1.78472                                                                          ν.sub.9 = 25.71                                r.sub.16 = 83.906                                                              d.sub.16 variable                                                            r.sub.17 = -46,646                                                             d.sub.17 = 1.2                                                                              n.sub.10 = 1.51633                                                                         ν.sub.10 = 64.15                               r.sub.18 = 29.574                                                              d.sub.18 = 2.8                                                                              n.sub.11 = 1.53256                                                                         ν.sub.11 = 45.91                               r.sub.19 = 218.510                                                             d.sub.19 variable                                                            r.sub.20 = 151.155                                                             d.sub. 20 = 2.5                                                                             n.sub.12 = 1.51633                                                                         ν.sub.12 = 64.15                               r.sub.21 = -61.058                                                             d.sub.21 = 0.1                                                               r.sub.22 = 77.522                                                              d.sub.22 = 2.5                                                                              n.sub.13 = 1.51633                                                                         ν.sub.13 = 64.15                               r.sub.23 = 542.892                                                             d.sub.23 = 1.809                                                             r.sub.24 = 35.861                                                              d.sub.24 = 17 n.sub.14 = 1.51633                                                                         ν.sub.14 = 64.15                               r.sub.25 = 27.784                                                              d.sub.25 = 1.8                                                                              n.sub.15 = 1.78300                                                                         ν.sub.15 = 36.15                               r.sub.26 = 98.518                                                              d.sub.26 = 0.5                                                               r.sub.27 = 32.787                                                              d.sub.27 = 13 n.sub.16 = 1.51633                                                                         ν.sub.16 = 64.15                               r.sub.28 = 73.584                                                              d.sub.28 = 1.8                                                                              n.sub.17 = 1.80518                                                                         ν.sub.17 = 25.43                               r.sub.29 = 19.690                                                              d.sub.29 =  18                                                               r.sub.30 = 61.395                                                              d.sub.30 = 5  n.sub.18 = 1.51633                                                                         ν.sub.18 = 64.15                               r.sub.31 = 96.179                                                              d.sub.31 = 0.5                                                               r.sub.32 = 40.523                                                              d.sub.32 = 3  n.sub.19 = 1.51633                                                                         ν.sub.19 = 64.15                               r.sub.33 = -576.814                                                           f = 16 ˜ 192 ,                                                                         f.sub.F = 120.000 ,                                                                        f.sub.V = 21.000                                  f.sub.C = 76.800 ,                                                                           f.sub.E = 51.665 ,                                                                         f.sub.M = 57.025                                               d.sub.8    d.sub.16  d.sub.19                                    f = 16       6.521      71.839    3.366                                       f = 55.43    51.296     16.400    14.031                                      f = 192      73.202     5.161     3.363                                       ______________________________________                                    

wherein reference symbols r₁ through r₃₃ respectively represent radii ofcurvature of respective lens surfaces, reference symbols d₁ through d₃₂respectively represent thicknesses of respective lenses and airspacesbetween respective lenses, reference symbols n₁ through n₁₉ respectivelyrepresent refractive indices of respective lenses, reference symbols ν₁through ν₁₉ respectively represent Abbe's numbers of respective lenses,reference symbols f_(F), f_(V), f_(C), f_(E), f_(M) and f respectivelyrepresent focal lengths of the focusing lens group, variator lens group,compensator lens group, erector lens group, master lens group and thelens system as a whole.
 22. A zoom lens system with high zooming ratioaccording to claim 21 further arranged to correct aberrations by varyingsaid airspace d₄, when said zoom lens system is focused on an object ata distance different from the design object distance of said zoom lenssystem, at the same time as said focusing lens group is moved for thepurpose of focusing.